Index

A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | U | V | W | Z

A

a_realization() (sage.categories.examples.with_realizations.SubsetAlgebra method)
AbelianCategory (class in sage.categories.category_types)
act() (sage.categories.action.Action method)
Action (class in sage.categories.action)
ActionEndomorphism (class in sage.categories.action)
actor() (sage.categories.action.Action method)
addition_table() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
additive_semigroup_generators() (sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
AdditiveMagmas (class in sage.categories.additive_magmas)
AdditiveMagmas.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.ParentMethods (class in sage.categories.additive_magmas)
algebra() (sage.categories.algebra_ideals.AlgebraIdeals method)
(sage.categories.algebra_modules.AlgebraModules method)
(sage.categories.commutative_algebra_ideals.CommutativeAlgebraIdeals method)
(sage.categories.sets_cat.Sets.ParentMethods method)
algebra_generators() (sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
AlgebraFunctor (class in sage.categories.algebra_functor)
AlgebraicClosureFunctor (class in sage.categories.pushout)
AlgebraicExtensionFunctor (class in sage.categories.pushout)
AlgebraIdeals (class in sage.categories.algebra_ideals)
AlgebraModules (class in sage.categories.algebra_modules)
Algebras (class in sage.categories.algebras)
Algebras() (in module sage.categories.algebra_functor)
(sage.categories.category.Category method)
Algebras.CartesianProducts (class in sage.categories.algebras)
Algebras.DualObjects (class in sage.categories.algebras)
Algebras.ElementMethods (class in sage.categories.algebras)
Algebras.ParentMethods (class in sage.categories.algebras)
Algebras.TensorProducts (class in sage.categories.algebras)
AlgebrasCategory (class in sage.categories.algebra_functor)
AlgebrasWithBasis (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.CartesianProducts (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.ElementMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.ParentMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts (class in sage.categories.algebras_with_basis)
all_super_categories() (sage.categories.category.Category method)
ambient() (sage.categories.category_types.Category_in_ambient method)
(sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.IncompleteSubquotientSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
an_element() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.examples.sets_cat.PrimeNumbers method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_cat.Sets.ParentMethods method)
an_instance() (sage.categories.algebra_modules.AlgebraModules class method)
(sage.categories.bimodules.Bimodules class method)
(sage.categories.category.Category class method)
(sage.categories.category_types.Category_ideal class method)
(sage.categories.category_types.Category_over_base class method)
(sage.categories.category_types.Elements class method)
(sage.categories.category_types.Sequences class method)
(sage.categories.g_sets.GSets class method)
(sage.categories.groupoid.Groupoid class method)
antichains() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
antipode() (sage.categories.hopf_algebras.HopfAlgebras.ElementMethods method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.ParentMethods method)
antipode_on_basis() (sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.ParentMethods method)
apply_conjugation_by_simple_reflection() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_demazure_product() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_projection() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_reflection() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_reflection_left() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_reflection_right() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element method)
apply_simple_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)

B

base() (sage.categories.category.HomCategory method)
(sage.categories.category_types.Category_over_base method)
(sage.categories.tensor.TensorProductsCategory method)
base_category() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
base_field() (sage.categories.modular_abelian_varieties.ModularAbelianVarieties method)
(sage.categories.vector_spaces.VectorSpaces method)
base_ring() (sage.categories.algebra_functor.AlgebraFunctor method)
(sage.categories.cartesian_product.CartesianProductsCategory method)
(sage.categories.category_types.Category_over_base_ring method)
(sage.categories.hecke_modules.HeckeModules.HomCategory method)
base_scheme() (sage.categories.schemes.Schemes_over_base method)
base_set() (sage.categories.examples.with_realizations.SubsetAlgebra method)
basis() (sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
Bialgebras (class in sage.categories.bialgebras)
Bialgebras.ElementMethods (class in sage.categories.bialgebras)
Bialgebras.ParentMethods (class in sage.categories.bialgebras)
BialgebrasWithBasis (class in sage.categories.bialgebras_with_basis)
BialgebrasWithBasis.ElementMethods (class in sage.categories.bialgebras_with_basis)
BialgebrasWithBasis.ParentMethods (class in sage.categories.bialgebras_with_basis)
Bimodules (class in sage.categories.bimodules)
Bimodules.ElementMethods (class in sage.categories.bimodules)
Bimodules.ParentMethods (class in sage.categories.bimodules)
binary_factorizations() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
BlackBoxConstructionFunctor (class in sage.categories.pushout)
bracket() (sage.categories.rings.Rings.ParentMethods method)
bruhat_interval() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
bruhat_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_lower_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_lower_covers_coroots() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
bruhat_lower_covers_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
bruhat_upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
bruhat_upper_covers_coroots() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
bruhat_upper_covers_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)

C

CallMorphism (class in sage.categories.morphism)
cardinality() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
cartan_type() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
cartesian_product (in module sage.categories.cartesian_product)
cartesian_product() (sage.categories.sets_cat.Sets.ElementMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
CartesianProduct (sage.categories.sets_cat.Sets.ParentMethods attribute)
CartesianProductFunctor (class in sage.categories.cartesian_product)
CartesianProducts() (in module sage.categories.cartesian_product)
(sage.categories.cartesian_product.CartesianProductsCategory method)
(sage.categories.category.Category method)
CartesianProductsCategory (class in sage.categories.cartesian_product)
Category (class in sage.categories.category)
category() (sage.categories.category.Category method)
(sage.categories.morphism.Morphism method)
Category.ElementMethods (class in sage.categories.category)
Category.ParentMethods (class in sage.categories.category)
category_for() (sage.categories.map.Map method)
category_from_categories() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_from_category() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_from_parents() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_graph() (in module sage.categories.category)
(sage.categories.category.Category method)
Category_ideal (class in sage.categories.category_types)
Category_in_ambient (class in sage.categories.category_types)
Category_module (class in sage.categories.category_types)
category_of() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory class method)
Category_over_base (class in sage.categories.category_types)
Category_over_base_ring (class in sage.categories.category_types)
Category_realization_of_parent (class in sage.categories.realizations)
category_sample() (in module sage.categories.category)
CategoryWithParameters (class in sage.categories.category)
cayley_graph() (sage.categories.semigroups.Semigroups.ParentMethods method)
cayley_graph_disabled() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
cayley_table() (sage.categories.groups.Groups.ParentMethods method)
ChainComplexes (class in sage.categories.category_types)
character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
characteristic() (sage.categories.rings.Rings.ParentMethods method)
ClassicalCrystals (class in sage.categories.classical_crystals)
ClassicalCrystals.ElementMethods (class in sage.categories.classical_crystals)
ClassicalCrystals.ParentMethods (class in sage.categories.classical_crystals)
co_kernel_projection() (sage.categories.modules_with_basis.TriangularModuleMorphism method)
co_reduced() (sage.categories.modules_with_basis.TriangularModuleMorphism method)
Coalgebras (class in sage.categories.coalgebras)
Coalgebras.DualObjects (class in sage.categories.coalgebras)
Coalgebras.ElementMethods (class in sage.categories.coalgebras)
Coalgebras.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.Realizations (class in sage.categories.coalgebras)
Coalgebras.TensorProducts (class in sage.categories.coalgebras)
Coalgebras.WithRealizations (class in sage.categories.coalgebras)
CoalgebrasWithBasis (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.ElementMethods (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.ParentMethods (class in sage.categories.coalgebras_with_basis)
codomain() (sage.categories.action.Action method)
(sage.categories.action.InverseAction method)
(sage.categories.action.PrecomposedAction method)
(sage.categories.functor.Functor method)
(sage.categories.homset.Homset method)
(sage.categories.map.Map method)
coerce_map_from_c() (sage.categories.homset.Homset method)
CommutativeAdditiveGroups (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.ElementMethods (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.ParentMethods (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveMonoids (class in sage.categories.commutative_additive_monoids)
CommutativeAdditiveMonoids.ElementMethods (class in sage.categories.commutative_additive_monoids)
CommutativeAdditiveMonoids.ParentMethods (class in sage.categories.commutative_additive_monoids)
CommutativeAdditiveMonoids.WithRealizations (class in sage.categories.commutative_additive_monoids)
CommutativeAdditiveSemigroups (class in sage.categories.commutative_additive_semigroups)
CommutativeAdditiveSemigroups.ElementMethods (class in sage.categories.commutative_additive_semigroups)
CommutativeAdditiveSemigroups.ParentMethods (class in sage.categories.commutative_additive_semigroups)
CommutativeAlgebraIdeals (class in sage.categories.commutative_algebra_ideals)
CommutativeAlgebras (class in sage.categories.commutative_algebras)
CommutativeRingIdeals (class in sage.categories.commutative_ring_ideals)
CommutativeRings (class in sage.categories.commutative_rings)
CommutativeRings.ElementMethods (class in sage.categories.commutative_rings)
CommutativeRings.ParentMethods (class in sage.categories.commutative_rings)
commutes() (sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
CompletionFunctor (class in sage.categories.pushout)
CompositeConstructionFunctor (class in sage.categories.pushout)
conjugacy_class() (sage.categories.finite_groups.FiniteGroups.ElementMethods method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
conjugacy_classes() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
conjugacy_classes_representatives() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
construction_tower() (in module sage.categories.pushout)
ConstructionFunctor (class in sage.categories.pushout)
coproduct() (sage.categories.coalgebras.Coalgebras.ElementMethods method)
(sage.categories.coalgebras.Coalgebras.ParentMethods method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
coproduct_on_basis() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
coset_representative() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
counit() (sage.categories.coalgebras.Coalgebras.ElementMethods method)
(sage.categories.coalgebras.Coalgebras.ParentMethods method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
counit_on_basis() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
CovariantConstructionCategory (class in sage.categories.covariant_functorial_construction)
CovariantFunctorialConstruction (class in sage.categories.covariant_functorial_construction)
cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
CoxeterGroups (class in sage.categories.coxeter_groups)
CoxeterGroups.ElementMethods (class in sage.categories.coxeter_groups)
CoxeterGroups.ParentMethods (class in sage.categories.coxeter_groups)
crystal_morphism() (sage.categories.crystals.Crystals.ParentMethods method)
Crystals (class in sage.categories.crystals)
Crystals.ElementMethods (class in sage.categories.crystals)
Crystals.ParentMethods (class in sage.categories.crystals)
cycle_index() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method)

D

default_super_categories() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory class method)
(sage.categories.covariant_functorial_construction.RegressiveCovariantConstructionCategory class method)
(sage.categories.isomorphic_objects.IsomorphicObjectsCategory class method)
(sage.categories.quotients.QuotientsCategory class method)
(sage.categories.subobjects.SubobjectsCategory class method)
degree() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ElementMethods method)
(sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
demazure_character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
demazure_product() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
denominator() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
deodhar_factor_element() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
deodhar_lift_down() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
deodhar_lift_up() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
derivative() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
descents() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
DiagonalModuleMorphism (class in sage.categories.modules_with_basis)
digraph() (sage.categories.crystals.Crystals.ParentMethods method)
DihedralGroup (class in sage.categories.examples.finite_coxeter_groups)
DihedralGroup.Element (class in sage.categories.examples.finite_coxeter_groups)
directed_subset() (sage.categories.posets.Posets.ParentMethods method)
directed_subsets() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
DivisionRings (class in sage.categories.division_rings)
DivisionRings.ElementMethods (class in sage.categories.division_rings)
DivisionRings.ParentMethods (class in sage.categories.division_rings)
domain() (sage.categories.action.Action method)
(sage.categories.action.PrecomposedAction method)
(sage.categories.functor.Functor method)
(sage.categories.homset.Homset method)
(sage.categories.map.Map method)
Domains (class in sage.categories.domains)
Domains.ElementMethods (class in sage.categories.domains)
Domains.ParentMethods (class in sage.categories.domains)
dot_tex() (sage.categories.crystals.Crystals.ParentMethods method)
dual() (sage.categories.category.Category method)
(sage.categories.hopf_algebras.HopfAlgebras method)
DualFunctor (class in sage.categories.dual)
DualObjects() (in module sage.categories.dual)
(sage.categories.category.Category method)
DualObjectsCategory (class in sage.categories.dual)

E

e() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method)
(sage.categories.examples.crystals.NaiveCrystal.Element method)
e_string() (sage.categories.crystals.Crystals.ElementMethods method)
Element (sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers attribute)
(sage.categories.examples.semigroups_cython.LeftZeroSemigroup attribute)
element_class (sage.categories.examples.sets_cat.PrimeNumbers attribute)
(sage.categories.examples.sets_cat.PrimeNumbers_Facade attribute)
element_class() (sage.categories.category.Category method)
element_class_set_morphism() (sage.categories.homset.Homset method)
ElementMethods (sage.categories.algebras.Algebras.TensorProducts attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts attribute)
(sage.categories.coalgebras.Coalgebras.TensorProducts attribute)
(sage.categories.examples.semigroups_cython.IdempotentSemigroups attribute)
(sage.categories.groups.Groups.Algebras attribute)
(sage.categories.hopf_algebras.HopfAlgebras.TensorProducts attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.TensorProducts attribute)
(sage.categories.modules_with_basis.ModulesWithBasis.HomCategory attribute)
(sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts attribute)
(sage.categories.monoids.Monoids.Algebras attribute)
(sage.categories.sets_cat.Sets.CartesianProducts attribute)
(sage.categories.sets_cat.Sets.Subquotients attribute)
Elements (class in sage.categories.category_types)
ElementWrapper (sage.categories.examples.sets_cat.PrimeNumbers_Wrapper attribute)
EmptySetError
End() (in module sage.categories.homset)
end() (in module sage.categories.homset)
EnumeratedSets (class in sage.categories.enumerated_sets)
EnumeratedSets.ElementMethods (class in sage.categories.enumerated_sets)
EnumeratedSets.ParentMethods (class in sage.categories.enumerated_sets)
epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
Epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
EuclideanDomains (class in sage.categories.euclidean_domains)
EuclideanDomains.ElementMethods (class in sage.categories.euclidean_domains)
EuclideanDomains.ParentMethods (class in sage.categories.euclidean_domains)
Example (class in sage.categories.examples.finite_enumerated_sets)
(in module sage.categories.examples.algebras_with_basis)
(in module sage.categories.examples.commutative_additive_monoids)
(in module sage.categories.examples.commutative_additive_semigroups)
(in module sage.categories.examples.finite_coxeter_groups)
(in module sage.categories.examples.finite_monoids)
(in module sage.categories.examples.finite_semigroups)
(in module sage.categories.examples.finite_weyl_groups)
(in module sage.categories.examples.infinite_enumerated_sets)
(in module sage.categories.examples.monoids)
(in module sage.categories.examples.sets_with_grading)
example() (sage.categories.algebras_with_basis.AlgebrasWithBasis method)
(sage.categories.category.Category method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.crystals.Crystals method)
(sage.categories.facade_sets.FacadeSets method)
(sage.categories.finite_crystals.FiniteCrystals method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.IsomorphicObjects method)
(sage.categories.finite_groups.FiniteGroups method)
(sage.categories.finite_permutation_groups.FinitePermutationGroups method)
(sage.categories.groups.Groups method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis method)
(sage.categories.magmas.Magmas.CartesianProducts method)
(sage.categories.posets.Posets method)
(sage.categories.semigroups.Semigroups method)
(sage.categories.semigroups.Semigroups.Quotients method)
(sage.categories.semigroups.Semigroups.Subquotients method)
(sage.categories.sets_cat.Sets method)
(sage.categories.sets_cat.Sets.CartesianProducts method)
(sage.categories.sets_cat.Sets.WithRealizations method)
expand() (sage.categories.pushout.AlgebraicExtensionFunctor method)
(sage.categories.pushout.CompositeConstructionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.InfinitePolynomialFunctor method)
(sage.categories.pushout.MultiPolynomialFunctor method)
extend_codomain() (sage.categories.map.Map method)
extend_domain() (sage.categories.map.Map method)
extra_super_categories() (sage.categories.algebras.Algebras.CartesianProducts method)
(sage.categories.algebras.Algebras.DualObjects method)
(sage.categories.algebras.Algebras.TensorProducts method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts method)
(sage.categories.category.HomCategory method)
(sage.categories.coalgebras.Coalgebras.DualObjects method)
(sage.categories.coalgebras.Coalgebras.TensorProducts method)
(sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
(sage.categories.groups.Groups.Algebras method)
(sage.categories.hecke_modules.HeckeModules.HomCategory method)
(sage.categories.hopf_algebras.HopfAlgebras.TensorProducts method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.TensorProducts method)
(sage.categories.magmas.Magmas.CartesianProducts method)
(sage.categories.modules.Modules.EndCategory method)
(sage.categories.modules.Modules.HomCategory method)
(sage.categories.modules_with_basis.ModulesWithBasis.CartesianProducts method)
(sage.categories.modules_with_basis.ModulesWithBasis.DualObjects method)
(sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts method)
(sage.categories.monoids.Monoids.Algebras method)
(sage.categories.monoids.Monoids.CartesianProducts method)
(sage.categories.objects.Objects.HomCategory method)
(sage.categories.schemes.Schemes_abstract.HomCategory method)
(sage.categories.semigroups.Semigroups.Algebras method)
(sage.categories.semigroups.Semigroups.CartesianProducts method)
(sage.categories.sets_cat.Sets.Algebras method)
(sage.categories.sets_cat.Sets.CartesianProducts method)
(sage.categories.sets_cat.Sets.WithRealizations method)
(sage.categories.vector_spaces.VectorSpaces.DualObjects method)

F

f() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method)
(sage.categories.examples.crystals.NaiveCrystal.Element method)
f_string() (sage.categories.crystals.Crystals.ElementMethods method)
facade_for() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
Facades (sage.categories.sets_cat.Sets attribute)
FacadeSets (class in sage.categories.facade_sets)
FacadeSets.ParentMethods (class in sage.categories.facade_sets)
factor() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
Fields (class in sage.categories.fields)
Fields.ElementMethods (class in sage.categories.fields)
Fields.ParentMethods (class in sage.categories.fields)
FiniteCoxeterGroups (class in sage.categories.finite_coxeter_groups)
FiniteCoxeterGroups.ElementMethods (class in sage.categories.finite_coxeter_groups)
FiniteCoxeterGroups.ParentMethods (class in sage.categories.finite_coxeter_groups)
FiniteCrystals (class in sage.categories.finite_crystals)
FiniteDimensionalAlgebrasWithBasis (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalBialgebrasWithBasis (class in sage.categories.finite_dimensional_bialgebras_with_basis)
FiniteDimensionalBialgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_bialgebras_with_basis)
FiniteDimensionalBialgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_bialgebras_with_basis)
FiniteDimensionalCoalgebrasWithBasis (class in sage.categories.finite_dimensional_coalgebras_with_basis)
FiniteDimensionalCoalgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_coalgebras_with_basis)
FiniteDimensionalCoalgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_coalgebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalModulesWithBasis (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.ElementMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.ParentMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteEnumeratedSets (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.IsomorphicObjects (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteFields (class in sage.categories.finite_fields)
FiniteFields.ElementMethods (class in sage.categories.finite_fields)
FiniteFields.ParentMethods (class in sage.categories.finite_fields)
FiniteGroups (class in sage.categories.finite_groups)
FiniteGroups.ElementMethods (class in sage.categories.finite_groups)
FiniteGroups.ParentMethods (class in sage.categories.finite_groups)
FiniteLatticePosets (class in sage.categories.finite_lattice_posets)
FiniteLatticePosets.ParentMethods (class in sage.categories.finite_lattice_posets)
FiniteMonoids (class in sage.categories.finite_monoids)
FiniteMonoids.ElementMethods (class in sage.categories.finite_monoids)
FinitePermutationGroups (class in sage.categories.finite_permutation_groups)
FinitePermutationGroups.ElementMethods (class in sage.categories.finite_permutation_groups)
FinitePermutationGroups.ParentMethods (class in sage.categories.finite_permutation_groups)
FinitePosets (class in sage.categories.finite_posets)
FinitePosets.ParentMethods (class in sage.categories.finite_posets)
FiniteSemigroups (class in sage.categories.finite_semigroups)
FiniteSemigroups.ParentMethods (class in sage.categories.finite_semigroups)
FiniteWeylGroups (class in sage.categories.finite_weyl_groups)
FiniteWeylGroups.ElementMethods (class in sage.categories.finite_weyl_groups)
FiniteWeylGroups.ParentMethods (class in sage.categories.finite_weyl_groups)
first() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.map.FormalCompositeMap method)
first_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
ForgetfulFunctor() (in module sage.categories.functor)
ForgetfulFunctor_generic (class in sage.categories.functor)
FormalCoercionMorphism (class in sage.categories.morphism)
FormalCompositeMap (class in sage.categories.map)
fraction_field() (sage.categories.fields.Fields.ParentMethods method)
FractionField (class in sage.categories.pushout)
FreeAlgebra (class in sage.categories.examples.algebras_with_basis)
FreeCommutativeAdditiveMonoid (class in sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveMonoid.Element (class in sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveSemigroup (class in sage.categories.examples.commutative_additive_semigroups)
FreeCommutativeAdditiveSemigroup.Element (class in sage.categories.examples.commutative_additive_semigroups)
FreeMonoid (class in sage.categories.examples.monoids)
FreeMonoid.Element (class in sage.categories.examples.monoids)
FreeSemigroup (class in sage.categories.examples.semigroups)
FreeSemigroup.Element (class in sage.categories.examples.semigroups)
from_base_ring() (sage.categories.algebras.Algebras.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
from_base_ring_from_one_basis() (sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
from_reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
Functor (class in sage.categories.functor)

G

gcd() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
GcdDomains (class in sage.categories.gcd_domains)
GcdDomains.ElementMethods (class in sage.categories.gcd_domains)
GcdDomains.ParentMethods (class in sage.categories.gcd_domains)
ge() (sage.categories.posets.Posets.ParentMethods method)
generating_series() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
gens() (sage.categories.pushout.PermutationGroupFunctor method)
get_action_c() (sage.categories.homset.Homset method)
graded_component() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
GradedAlgebras (class in sage.categories.graded_algebras)
GradedAlgebras.ElementMethods (class in sage.categories.graded_algebras)
GradedAlgebras.ParentMethods (class in sage.categories.graded_algebras)
GradedAlgebrasWithBasis (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.ElementMethods (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.ParentMethods (class in sage.categories.graded_algebras_with_basis)
GradedBialgebras (class in sage.categories.graded_bialgebras)
GradedBialgebras.ElementMethods (class in sage.categories.graded_bialgebras)
GradedBialgebras.ParentMethods (class in sage.categories.graded_bialgebras)
GradedBialgebrasWithBasis (class in sage.categories.graded_bialgebras_with_basis)
GradedBialgebrasWithBasis.ElementMethods (class in sage.categories.graded_bialgebras_with_basis)
GradedBialgebrasWithBasis.ParentMethods (class in sage.categories.graded_bialgebras_with_basis)
GradedCoalgebras (class in sage.categories.graded_coalgebras)
GradedCoalgebras.ElementMethods (class in sage.categories.graded_coalgebras)
GradedCoalgebras.ParentMethods (class in sage.categories.graded_coalgebras)
GradedCoalgebrasWithBasis (class in sage.categories.graded_coalgebras_with_basis)
GradedCoalgebrasWithBasis.ElementMethods (class in sage.categories.graded_coalgebras_with_basis)
GradedCoalgebrasWithBasis.ParentMethods (class in sage.categories.graded_coalgebras_with_basis)
GradedHopfAlgebras (class in sage.categories.graded_hopf_algebras)
GradedHopfAlgebras.ElementMethods (class in sage.categories.graded_hopf_algebras)
GradedHopfAlgebras.ParentMethods (class in sage.categories.graded_hopf_algebras)
GradedHopfAlgebrasWithBasis (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.WithRealizations (class in sage.categories.graded_hopf_algebras_with_basis)
GradedModules (class in sage.categories.graded_modules)
GradedModules.ElementMethods (class in sage.categories.graded_modules)
GradedModules.ParentMethods (class in sage.categories.graded_modules)
GradedModulesWithBasis (class in sage.categories.graded_modules_with_basis)
GradedModulesWithBasis.ElementMethods (class in sage.categories.graded_modules_with_basis)
GradedModulesWithBasis.ParentMethods (class in sage.categories.graded_modules_with_basis)
grading() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
grading_set() (sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
grassmannian_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
group_generators() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.groups.Groups.ParentMethods method)
Groupoid (class in sage.categories.groupoid)
Groups (class in sage.categories.groups)
Groups.Algebras (class in sage.categories.groups)
Groups.ElementMethods (class in sage.categories.groups)
Groups.ParentMethods (class in sage.categories.groups)
GSets (class in sage.categories.g_sets)
gt() (sage.categories.posets.Posets.ParentMethods method)

H

has_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_left_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_right_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup.Element method)
HeckeModules (class in sage.categories.hecke_modules)
HeckeModules.HomCategory (class in sage.categories.hecke_modules)
HeckeModules.ParentMethods (class in sage.categories.hecke_modules)
highest_weight_vector() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
highest_weight_vectors() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
HighestWeightCrystalOfTypeA (class in sage.categories.examples.crystals)
HighestWeightCrystalOfTypeA.Element (class in sage.categories.examples.crystals)
HighestWeightCrystals (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.ElementMethods (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.ParentMethods (class in sage.categories.highest_weight_crystals)
holomorph() (sage.categories.groups.Groups.ParentMethods method)
hom() (in module sage.categories.homset)
Hom() (in module sage.categories.homset)
hom_category() (sage.categories.category.Category method)
HomCategory (class in sage.categories.category)
homogeneous_component() (sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
homogeneous_degree() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ElementMethods method)
Homset (class in sage.categories.homset)
homset_category() (sage.categories.homset.Homset method)
HomsetWithBase (class in sage.categories.homset)
HopfAlgebras (class in sage.categories.hopf_algebras)
HopfAlgebras.DualCategory (class in sage.categories.hopf_algebras)
HopfAlgebras.ElementMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Morphism (class in sage.categories.hopf_algebras)
HopfAlgebras.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Realizations (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts (class in sage.categories.hopf_algebras)
HopfAlgebrasWithBasis (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.ElementMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.ParentMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts (class in sage.categories.hopf_algebras_with_basis)

I

ideal() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
(sage.categories.rings.Rings.ParentMethods method)
ideal_monoid() (sage.categories.rings.Rings.ParentMethods method)
idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
IdempotentSemigroups (class in sage.categories.examples.semigroups_cython)
IdempotentSemigroupsElementMethods (class in sage.categories.examples.semigroups_cython)
identity() (sage.categories.homset.Homset method)
IdentityConstructionFunctor (class in sage.categories.pushout)
IdentityFunctor() (in module sage.categories.functor)
IdentityFunctor_generic (class in sage.categories.functor)
IdentityMorphism (class in sage.categories.morphism)
IncompleteSubquotientSemigroup (class in sage.categories.examples.semigroups)
IncompleteSubquotientSemigroup.Element (class in sage.categories.examples.semigroups)
index_set() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
indices() (sage.categories.examples.with_realizations.SubsetAlgebra method)
indices_cmp() (sage.categories.examples.with_realizations.SubsetAlgebra method)
InfiniteEnumeratedSets (class in sage.categories.infinite_enumerated_sets)
InfiniteEnumeratedSets.ParentMethods (class in sage.categories.infinite_enumerated_sets)
InfinitePolynomialFunctor (class in sage.categories.pushout)
IntegerModMonoid (class in sage.categories.examples.finite_monoids)
IntegerModMonoid.Element (class in sage.categories.examples.finite_monoids)
IntegralDomains (class in sage.categories.integral_domains)
IntegralDomains.ElementMethods (class in sage.categories.integral_domains)
IntegralDomains.ParentMethods (class in sage.categories.integral_domains)
inverse() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
InverseAction (class in sage.categories.action)
inversions() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_abelian() (sage.categories.category.Category method)
(sage.categories.category_types.AbelianCategory method)
(sage.categories.modules_with_basis.ModulesWithBasis method)
is_antichain_of_poset() (sage.categories.posets.Posets.ParentMethods method)
is_Category() (in module sage.categories.category)
is_chain_of_poset() (sage.categories.posets.Posets.ParentMethods method)
is_commutative() (sage.categories.commutative_rings.CommutativeRings.ParentMethods method)
is_endomorphism() (sage.categories.morphism.Morphism method)
is_endomorphism_set() (sage.categories.homset.Homset method)
is_Endset() (in module sage.categories.homset)
is_euclidean_domain() (sage.categories.euclidean_domains.EuclideanDomains.ParentMethods method)
is_field() (sage.categories.fields.Fields.ParentMethods method)
is_finite() (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
is_Functor() (in module sage.categories.functor)
is_grassmannian() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
is_homogeneous() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ElementMethods method)
(sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
is_Homset() (in module sage.categories.homset)
is_idempotent() (sage.categories.examples.semigroups.LeftZeroSemigroup.Element method)
(sage.categories.magmas.Magmas.ElementMethods method)
is_idempotent_cpdef() (sage.categories.examples.semigroups_cython.IdempotentSemigroupsElementMethods method)
is_identity() (sage.categories.morphism.Morphism method)
is_injective() (sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
is_integral_domain() (sage.categories.fields.Fields.ParentMethods method)
(sage.categories.integral_domains.IntegralDomains.ParentMethods method)
is_integrally_closed() (sage.categories.fields.Fields.ParentMethods method)
is_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_lattice_morphism() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
is_left() (sage.categories.action.Action method)
is_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
is_Map() (in module sage.categories.map)
is_Morphism() (in module sage.categories.morphism)
is_one() (sage.categories.monoids.Monoids.ElementMethods method)
is_order_filter() (sage.categories.posets.Posets.ParentMethods method)
is_order_ideal() (sage.categories.posets.Posets.ParentMethods method)
is_parent_of() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
is_pieri_factor() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
is_poset_isomorphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_poset_morphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_prime() (sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method)
is_ring() (sage.categories.rings.Rings.ParentMethods method)
is_selfdual() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_subcategory() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
is_surjective() (sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
is_unique_factorization_domain() (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ParentMethods method)
is_unit() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.rings.Rings.ElementMethods method)
IsomorphicObjectOfFiniteEnumeratedSet (class in sage.categories.examples.finite_enumerated_sets)
IsomorphicObjects() (in module sage.categories.isomorphic_objects)
(sage.categories.category.Category method)
IsomorphicObjectsCategory (class in sage.categories.isomorphic_objects)

J

j_classes() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
j_classes_of_idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
j_transversal_of_idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
join() (sage.categories.category.Category static method)
(sage.categories.lattice_posets.LatticePosets.ParentMethods method)
join_irreducibles() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
join_irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
JoinCategory (class in sage.categories.category)

L

Lambda() (sage.categories.crystals.Crystals.ParentMethods method)
last() (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
latex() (sage.categories.crystals.Crystals.ParentMethods method)
latex_file() (sage.categories.crystals.Crystals.ParentMethods method)
LatticePosets (class in sage.categories.lattice_posets)
LatticePosets.ParentMethods (class in sage.categories.lattice_posets)
LaurentPolynomialFunctor (class in sage.categories.pushout)
lcm() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
le() (sage.categories.posets.Posets.ParentMethods method)
leading_coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
left_base_ring() (sage.categories.bimodules.Bimodules method)
left_domain() (sage.categories.action.Action method)
left_inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
left_pieri_factorizations() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
LeftModules (class in sage.categories.left_modules)
LeftModules.ElementMethods (class in sage.categories.left_modules)
LeftModules.ParentMethods (class in sage.categories.left_modules)
LeftRegularBand (class in sage.categories.examples.finite_semigroups)
LeftRegularBand.Element (class in sage.categories.examples.finite_semigroups)
LeftZeroSemigroup (class in sage.categories.examples.semigroups)
(class in sage.categories.examples.semigroups_cython)
LeftZeroSemigroup.Element (class in sage.categories.examples.semigroups)
LeftZeroSemigroupElement (class in sage.categories.examples.semigroups_cython)
length() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
lift() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
list() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
long_element() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
lower_cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
lower_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.posets.Posets.ParentMethods method)
lower_set() (sage.categories.posets.Posets.ParentMethods method)
lowest_weight_vectors() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
lt() (sage.categories.posets.Posets.ParentMethods method)
lusztig_involution() (sage.categories.classical_crystals.ClassicalCrystals.ElementMethods method)

M

Magmas (class in sage.categories.magmas)
Magmas.CartesianProducts (class in sage.categories.magmas)
Magmas.ElementMethods (class in sage.categories.magmas)
Magmas.ParentMethods (class in sage.categories.magmas)
Magmas.Realizations (class in sage.categories.magmas)
Magmas.Subquotients (class in sage.categories.magmas)
make_morphism() (in module sage.categories.morphism)
Map (class in sage.categories.map)
map() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
map_coefficients() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_mc() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
MatrixAlgebras (class in sage.categories.matrix_algebras)
MatrixFunctor (class in sage.categories.pushout)
maximal_degree() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ElementMethods method)
meet() (sage.categories.category.Category static method)
(sage.categories.lattice_posets.LatticePosets.ParentMethods method)
merge() (sage.categories.pushout.AlgebraicClosureFunctor method)
(sage.categories.pushout.AlgebraicExtensionFunctor method)
(sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.InfinitePolynomialFunctor method)
(sage.categories.pushout.LaurentPolynomialFunctor method)
(sage.categories.pushout.MatrixFunctor method)
(sage.categories.pushout.MultiPolynomialFunctor method)
(sage.categories.pushout.PermutationGroupFunctor method)
(sage.categories.pushout.PolynomialFunctor method)
(sage.categories.pushout.QuotientFunctor method)
(sage.categories.pushout.SubspaceFunctor method)
(sage.categories.pushout.VectorFunctor method)
metapost() (sage.categories.crystals.Crystals.ParentMethods method)
min_demazure_product_greater() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
ModularAbelianVarieties (class in sage.categories.modular_abelian_varieties)
module_morphism() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
ModuleMorphismByLinearity (class in sage.categories.modules_with_basis)
Modules (class in sage.categories.modules)
Modules.ElementMethods (class in sage.categories.modules)
Modules.EndCategory (class in sage.categories.modules)
Modules.HomCategory (class in sage.categories.modules)
Modules.ParentMethods (class in sage.categories.modules)
ModulesWithBasis (class in sage.categories.modules_with_basis)
ModulesWithBasis.CartesianProducts (class in sage.categories.modules_with_basis)
ModulesWithBasis.DualObjects (class in sage.categories.modules_with_basis)
ModulesWithBasis.ElementMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.HomCategory (class in sage.categories.modules_with_basis)
ModulesWithBasis.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts (class in sage.categories.modules_with_basis)
MonoidAlgebras (class in sage.categories.monoid_algebras)
Monoids (class in sage.categories.monoids)
Monoids.Algebras (class in sage.categories.monoids)
Monoids.CartesianProducts (class in sage.categories.monoids)
Monoids.ElementMethods (class in sage.categories.monoids)
Monoids.ParentMethods (class in sage.categories.monoids)
Monoids.Subquotients (class in sage.categories.monoids)
Monoids.WithRealizations (class in sage.categories.monoids)
Morphism (class in sage.categories.morphism)
multiplication_table() (sage.categories.magmas.Magmas.ParentMethods method)
MultiPolynomialFunctor (class in sage.categories.pushout)
MyGroupAlgebra (class in sage.categories.examples.hopf_algebras_with_basis)

N

NaiveCrystal (class in sage.categories.examples.crystals)
NaiveCrystal.Element (class in sage.categories.examples.crystals)
natural_map() (sage.categories.homset.Homset method)
next() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method)
NonNegativeIntegers (class in sage.categories.examples.infinite_enumerated_sets)
(class in sage.categories.examples.sets_with_grading)
NumberFields (class in sage.categories.number_fields)
NumberFields.ElementMethods (class in sage.categories.number_fields)
NumberFields.ParentMethods (class in sage.categories.number_fields)
numerator() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)

O

object() (sage.categories.category_types.Elements method)
(sage.categories.category_types.Sequences method)
Objects (class in sage.categories.objects)
Objects.ElementMethods (class in sage.categories.objects)
Objects.HomCategory (class in sage.categories.objects)
Objects.ParentMethods (class in sage.categories.objects)
on_basis() (sage.categories.modules_with_basis.ModuleMorphismByLinearity method)
on_left_matrix() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ElementMethods method)
one() (sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.examples.monoids.FreeMonoid method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.monoids.Monoids.ParentMethods method)
one_basis() (sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
one_element() (sage.categories.monoids.Monoids.ParentMethods method)
one_from_one_basis() (sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
operation() (sage.categories.action.Action method)
opposition_automorphism() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
or_subcategory() (sage.categories.category.Category method)
order_filter() (sage.categories.posets.Posets.ParentMethods method)
order_filter_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal() (sage.categories.posets.Posets.ParentMethods method)
order_ideal_complement_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal_toggle() (sage.categories.posets.Posets.ParentMethods method)
order_ideal_toggles() (sage.categories.posets.Posets.ParentMethods method)
order_ideals_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method)

P

panyushev_complement() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
panyushev_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
panyushev_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
parent_class() (sage.categories.category.Category method)
ParentMethods (sage.categories.algebras.Algebras.TensorProducts attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts attribute)
(sage.categories.coalgebras.Coalgebras.Realizations attribute)
(sage.categories.coalgebras.Coalgebras.TensorProducts attribute)
(sage.categories.coalgebras.Coalgebras.WithRealizations attribute)
(sage.categories.commutative_additive_monoids.CommutativeAdditiveMonoids.WithRealizations attribute)
(sage.categories.examples.with_realizations.SubsetAlgebra.Bases attribute)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.IsomorphicObjects attribute)
(sage.categories.groups.Groups.Algebras attribute)
(sage.categories.hecke_modules.HeckeModules.HomCategory attribute)
(sage.categories.hopf_algebras.HopfAlgebras.DualCategory attribute)
(sage.categories.hopf_algebras.HopfAlgebras.Realizations attribute)
(sage.categories.hopf_algebras.HopfAlgebras.TensorProducts attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.TensorProducts attribute)
(sage.categories.magmas.Magmas.CartesianProducts attribute)
(sage.categories.magmas.Magmas.Realizations attribute)
(sage.categories.magmas.Magmas.Subquotients attribute)
(sage.categories.modules.Modules.HomCategory attribute)
(sage.categories.modules_with_basis.ModulesWithBasis.CartesianProducts attribute)
(sage.categories.modules_with_basis.ModulesWithBasis.HomCategory attribute)
(sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts attribute)
(sage.categories.monoids.Monoids.Algebras attribute)
(sage.categories.monoids.Monoids.CartesianProducts attribute)
(sage.categories.monoids.Monoids.Subquotients attribute)
(sage.categories.monoids.Monoids.WithRealizations attribute)
(sage.categories.objects.Objects.HomCategory attribute)
(sage.categories.semigroups.Semigroups.Algebras attribute)
(sage.categories.semigroups.Semigroups.Quotients attribute)
(sage.categories.sets_cat.Sets.CartesianProducts attribute)
(sage.categories.sets_cat.Sets.IsomorphicObjects attribute)
(sage.categories.sets_cat.Sets.Quotients attribute)
(sage.categories.sets_cat.Sets.Realizations attribute)
(sage.categories.sets_cat.Sets.Subobjects attribute)
(sage.categories.sets_cat.Sets.Subquotients attribute)
(sage.categories.sets_cat.Sets.WithRealizations attribute)
partial_fraction_decomposition() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
PartiallyOrderedMonoids (class in sage.categories.partially_ordered_monoids)
PartiallyOrderedMonoids.ElementMethods (class in sage.categories.partially_ordered_monoids)
PartiallyOrderedMonoids.ParentMethods (class in sage.categories.partially_ordered_monoids)
PermutationGroupFunctor (class in sage.categories.pushout)
Phi() (sage.categories.crystals.Crystals.ElementMethods method)
phi() (sage.categories.crystals.Crystals.ElementMethods method)
phi_minus_epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
pieri_factors() (sage.categories.weyl_groups.WeylGroups.ParentMethods method)
plot() (sage.categories.crystals.Crystals.ParentMethods method)
plot3d() (sage.categories.crystals.Crystals.ParentMethods method)
PointedSets (class in sage.categories.pointed_sets)
pointwise_inverse() (sage.categories.modules_with_basis.PointwiseInverseFunction method)
pointwise_inverse_function() (in module sage.categories.modules_with_basis)
PointwiseInverseFunction (class in sage.categories.modules_with_basis)
PolynomialFunctor (class in sage.categories.pushout)
Posets (class in sage.categories.posets)
Posets.ElementMethods (class in sage.categories.posets)
Posets.ParentMethods (class in sage.categories.posets)
post_compose() (sage.categories.map.Map method)
pre_compose() (sage.categories.map.Map method)
PrecomposedAction (class in sage.categories.action)
preimage() (sage.categories.modules_with_basis.TriangularModuleMorphism method)
PrimeNumbers (class in sage.categories.examples.sets_cat)
PrimeNumbers_Abstract (class in sage.categories.examples.sets_cat)
PrimeNumbers_Abstract.Element (class in sage.categories.examples.sets_cat)
PrimeNumbers_Facade (class in sage.categories.examples.sets_cat)
PrimeNumbers_Inherits (class in sage.categories.examples.sets_cat)
PrimeNumbers_Inherits.Element (class in sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper (class in sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper.Element (class in sage.categories.examples.sets_cat)
principal_lower_set() (sage.categories.posets.Posets.ParentMethods method)
principal_order_filter() (sage.categories.posets.Posets.ParentMethods method)
principal_order_ideal() (sage.categories.posets.Posets.ParentMethods method)
principal_upper_set() (sage.categories.posets.Posets.ParentMethods method)
PrincipalIdealDomains (class in sage.categories.principal_ideal_domains)
PrincipalIdealDomains.ElementMethods (class in sage.categories.principal_ideal_domains)
PrincipalIdealDomains.ParentMethods (class in sage.categories.principal_ideal_domains)
print_compare() (in module sage.categories.sets_cat)
prod() (sage.categories.monoids.Monoids.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
product() (sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.magmas.Magmas.ParentMethods method)
product_from_element_class_mul() (sage.categories.magmas.Magmas.ParentMethods method)
product_on_basis() (sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
pseudo_order() (sage.categories.finite_monoids.FiniteMonoids.ElementMethods method)
pushforward() (sage.categories.morphism.Morphism method)
pushout() (in module sage.categories.pushout)
(sage.categories.pushout.ConstructionFunctor method)
pushout_lattice() (in module sage.categories.pushout)

Q

quantum_bruhat_graph() (sage.categories.weyl_groups.WeylGroups.ParentMethods method)
quantum_bruhat_successors() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
quo() (sage.categories.rings.Rings.ParentMethods method)
quotient() (sage.categories.rings.Rings.ParentMethods method)
quotient_ring() (sage.categories.rings.Rings.ParentMethods method)
QuotientFields (class in sage.categories.quotient_fields)
QuotientFields.ElementMethods (class in sage.categories.quotient_fields)
QuotientFields.ParentMethods (class in sage.categories.quotient_fields)
QuotientFunctor (class in sage.categories.pushout)
QuotientOfLeftZeroSemigroup (class in sage.categories.examples.semigroups)
QuotientOfLeftZeroSemigroup.Element (class in sage.categories.examples.semigroups)
Quotients() (in module sage.categories.quotients)
(sage.categories.category.Category method)
QuotientsCategory (class in sage.categories.quotients)

R

random_element() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
rank() (sage.categories.enumerated_sets.EnumeratedSets.ElementMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
Realizations() (in module sage.categories.realizations)
(sage.categories.category.Category method)
RealizationsCategory (class in sage.categories.realizations)
reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_word_reverse_iterator() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_words() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reflection_to_coroot() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
reflection_to_root() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
register_as_coercion() (sage.categories.morphism.Morphism method)
register_as_conversion() (sage.categories.morphism.Morphism method)
RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction)
required_methods() (sage.categories.category.Category method)
retract() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
reversed() (sage.categories.homset.Homset method)
right_base_ring() (sage.categories.bimodules.Bimodules method)
right_domain() (sage.categories.action.Action method)
RightModules (class in sage.categories.right_modules)
RightModules.ElementMethods (class in sage.categories.right_modules)
RightModules.ParentMethods (class in sage.categories.right_modules)
ring() (sage.categories.category_types.Category_ideal method)
RingIdeals (class in sage.categories.ring_ideals)
Rings (class in sage.categories.rings)
Rings.ElementMethods (class in sage.categories.rings)
Rings.HomCategory (class in sage.categories.rings)
Rings.ParentMethods (class in sage.categories.rings)
Rngs (class in sage.categories.rngs)
Rngs.ElementMethods (class in sage.categories.rngs)
Rngs.ParentMethods (class in sage.categories.rngs)
rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)

S

s() (sage.categories.crystals.Crystals.ElementMethods method)
sage.categories.action (module)
sage.categories.additive_magmas (module)
sage.categories.algebra_functor (module)
sage.categories.algebra_ideals (module)
sage.categories.algebra_modules (module)
sage.categories.algebras (module)
sage.categories.algebras_with_basis (module)
sage.categories.bialgebras (module)
sage.categories.bialgebras_with_basis (module)
sage.categories.bimodules (module)
sage.categories.cartesian_product (module)
sage.categories.category (module)
sage.categories.category_types (module)
sage.categories.classical_crystals (module)
sage.categories.coalgebras (module)
sage.categories.coalgebras_with_basis (module)
sage.categories.commutative_additive_groups (module)
sage.categories.commutative_additive_monoids (module)
sage.categories.commutative_additive_semigroups (module)
sage.categories.commutative_algebra_ideals (module)
sage.categories.commutative_algebras (module)
sage.categories.commutative_ring_ideals (module)
sage.categories.commutative_rings (module)
sage.categories.covariant_functorial_construction (module)
sage.categories.coxeter_groups (module)
sage.categories.crystals (module)
sage.categories.division_rings (module)
sage.categories.domains (module)
sage.categories.dual (module)
sage.categories.enumerated_sets (module)
sage.categories.euclidean_domains (module)
sage.categories.examples.algebras_with_basis (module)
sage.categories.examples.commutative_additive_monoids (module)
sage.categories.examples.commutative_additive_semigroups (module)
sage.categories.examples.coxeter_groups (module)
sage.categories.examples.crystals (module)
sage.categories.examples.finite_coxeter_groups (module)
sage.categories.examples.finite_enumerated_sets (module)
sage.categories.examples.finite_monoids (module)
sage.categories.examples.finite_semigroups (module)
sage.categories.examples.finite_weyl_groups (module)
sage.categories.examples.hopf_algebras_with_basis (module)
sage.categories.examples.infinite_enumerated_sets (module)
sage.categories.examples.monoids (module)
sage.categories.examples.semigroups (module)
sage.categories.examples.semigroups_cython (module)
sage.categories.examples.sets_cat (module)
sage.categories.examples.sets_with_grading (module)
sage.categories.examples.with_realizations (module)
sage.categories.facade_sets (module)
sage.categories.fields (module)
sage.categories.finite_coxeter_groups (module)
sage.categories.finite_crystals (module)
sage.categories.finite_dimensional_algebras_with_basis (module)
sage.categories.finite_dimensional_bialgebras_with_basis (module)
sage.categories.finite_dimensional_coalgebras_with_basis (module)
sage.categories.finite_dimensional_hopf_algebras_with_basis (module)
sage.categories.finite_dimensional_modules_with_basis (module)
sage.categories.finite_enumerated_sets (module)
sage.categories.finite_fields (module)
sage.categories.finite_groups (module)
sage.categories.finite_lattice_posets (module)
sage.categories.finite_monoids (module)
sage.categories.finite_permutation_groups (module)
sage.categories.finite_posets (module)
sage.categories.finite_semigroups (module)
sage.categories.finite_weyl_groups (module)
sage.categories.functor (module)
sage.categories.g_sets (module)
sage.categories.gcd_domains (module)
sage.categories.graded_algebras (module)
sage.categories.graded_algebras_with_basis (module)
sage.categories.graded_bialgebras (module)
sage.categories.graded_bialgebras_with_basis (module)
sage.categories.graded_coalgebras (module)
sage.categories.graded_coalgebras_with_basis (module)
sage.categories.graded_hopf_algebras (module)
sage.categories.graded_hopf_algebras_with_basis (module)
sage.categories.graded_modules (module)
sage.categories.graded_modules_with_basis (module)
sage.categories.groupoid (module)
sage.categories.groups (module)
sage.categories.hecke_modules (module)
sage.categories.highest_weight_crystals (module)
sage.categories.homset (module)
sage.categories.hopf_algebras (module)
sage.categories.hopf_algebras_with_basis (module)
sage.categories.infinite_enumerated_sets (module)
sage.categories.integral_domains (module)
sage.categories.isomorphic_objects (module)
sage.categories.lattice_posets (module)
sage.categories.left_modules (module)
sage.categories.magmas (module)
sage.categories.map (module)
sage.categories.matrix_algebras (module)
sage.categories.modular_abelian_varieties (module)
sage.categories.modules (module)
sage.categories.modules_with_basis (module)
sage.categories.monoid_algebras (module)
sage.categories.monoids (module)
sage.categories.morphism (module)
sage.categories.number_fields (module)
sage.categories.objects (module)
sage.categories.partially_ordered_monoids (module)
sage.categories.pointed_sets (module)
sage.categories.posets (module)
sage.categories.primer (module)
sage.categories.principal_ideal_domains (module)
sage.categories.pushout (module)
sage.categories.quotient_fields (module)
sage.categories.quotients (module)
sage.categories.realizations (module)
sage.categories.right_modules (module)
sage.categories.ring_ideals (module)
sage.categories.rings (module)
sage.categories.rngs (module)
sage.categories.schemes (module)
sage.categories.semigroups (module)
sage.categories.semirings (module)
sage.categories.sets_cat (module)
sage.categories.sets_with_grading (module)
sage.categories.subobjects (module)
sage.categories.subquotients (module)
sage.categories.tensor (module)
sage.categories.tutorial (module)
sage.categories.unique_factorization_domains (module)
sage.categories.vector_spaces (module)
sage.categories.weyl_groups (module)
sage.categories.with_realizations (module)
Schemes() (in module sage.categories.schemes)
Schemes_abstract (class in sage.categories.schemes)
Schemes_abstract.HomCategory (class in sage.categories.schemes)
Schemes_over_base (class in sage.categories.schemes)
second() (sage.categories.map.FormalCompositeMap method)
Section (class in sage.categories.map)
section() (sage.categories.map.Map method)
(sage.categories.modules_with_basis.TriangularModuleMorphism method)
semidirect_product() (sage.categories.groups.Groups.ParentMethods method)
semigroup_generators() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
Semigroups (class in sage.categories.semigroups)
Semigroups.Algebras (class in sage.categories.semigroups)
Semigroups.CartesianProducts (class in sage.categories.semigroups)
Semigroups.ElementMethods (class in sage.categories.semigroups)
Semigroups.ParentMethods (class in sage.categories.semigroups)
Semigroups.Quotients (class in sage.categories.semigroups)
Semigroups.Subquotients (class in sage.categories.semigroups)
Semirings (class in sage.categories.semirings)
Semirings.ParentMethods (class in sage.categories.semirings)
Sequences (class in sage.categories.category_types)
SetMorphism (class in sage.categories.morphism)
Sets (class in sage.categories.sets_cat)
Sets.Algebras (class in sage.categories.sets_cat)
Sets.CartesianProducts (class in sage.categories.sets_cat)
Sets.ElementMethods (class in sage.categories.sets_cat)
Sets.HomCategory (class in sage.categories.sets_cat)
Sets.IsomorphicObjects (class in sage.categories.sets_cat)
Sets.ParentMethods (class in sage.categories.sets_cat)
Sets.Quotients (class in sage.categories.sets_cat)
Sets.Realizations (class in sage.categories.sets_cat)
Sets.Subobjects (class in sage.categories.sets_cat)
Sets.Subquotients (class in sage.categories.sets_cat)
Sets.WithRealizations (class in sage.categories.sets_cat)
SetsWithGrading (class in sage.categories.sets_with_grading)
SetsWithGrading.ParentMethods (class in sage.categories.sets_with_grading)
simple_projection() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
simple_projections() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
simple_reflection() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
simple_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
SimplicialComplexes (class in sage.categories.category_types)
some_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
stanley_symmetric_function() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
stanley_symmetric_function_as_polynomial() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
subcategory_class() (sage.categories.category.Category method)
subcrystal() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
Subobjects() (in module sage.categories.subobjects)
(sage.categories.category.Category method)
SubobjectsCategory (class in sage.categories.subobjects)
Subquotients() (in module sage.categories.subquotients)
(sage.categories.category.Category method)
SubquotientsCategory (class in sage.categories.subquotients)
subset() (sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
SubsetAlgebra (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Bases (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Fundamental (class in sage.categories.examples.with_realizations)
SubsetAlgebra.In (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Out (class in sage.categories.examples.with_realizations)
SubspaceFunctor (class in sage.categories.pushout)
succ_generators() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
sum() (sage.categories.commutative_additive_monoids.CommutativeAdditiveMonoids.ParentMethods method)
summation() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
(sage.categories.commutative_additive_semigroups.CommutativeAdditiveSemigroups.ParentMethods method)
(sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
summation_from_element_class_add() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
(sage.categories.commutative_additive_semigroups.CommutativeAdditiveSemigroups.ParentMethods method)
super_categories() (sage.categories.additive_magmas.AdditiveMagmas method)
(sage.categories.algebra_ideals.AlgebraIdeals method)
(sage.categories.algebra_modules.AlgebraModules method)
(sage.categories.algebras.Algebras method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis method)
(sage.categories.bialgebras.Bialgebras method)
(sage.categories.bialgebras_with_basis.BialgebrasWithBasis method)
(sage.categories.bimodules.Bimodules method)
(sage.categories.category.Category method)
(sage.categories.category.HomCategory method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_types.ChainComplexes method)
(sage.categories.category_types.Elements method)
(sage.categories.category_types.Sequences method)
(sage.categories.category_types.SimplicialComplexes method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.coalgebras.Coalgebras method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis method)
(sage.categories.commutative_additive_groups.CommutativeAdditiveGroups method)
(sage.categories.commutative_additive_monoids.CommutativeAdditiveMonoids method)
(sage.categories.commutative_additive_semigroups.CommutativeAdditiveSemigroups method)
(sage.categories.commutative_algebra_ideals.CommutativeAlgebraIdeals method)
(sage.categories.commutative_algebras.CommutativeAlgebras method)
(sage.categories.commutative_ring_ideals.CommutativeRingIdeals method)
(sage.categories.commutative_rings.CommutativeRings method)
(sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
(sage.categories.coxeter_groups.CoxeterGroups method)
(sage.categories.crystals.Crystals method)
(sage.categories.division_rings.DivisionRings method)
(sage.categories.domains.Domains method)
(sage.categories.enumerated_sets.EnumeratedSets method)
(sage.categories.euclidean_domains.EuclideanDomains method)
(sage.categories.examples.semigroups_cython.IdempotentSemigroups method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Bases method)
(sage.categories.facade_sets.FacadeSets method)
(sage.categories.fields.Fields method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups method)
(sage.categories.finite_crystals.FiniteCrystals method)
(sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis method)
(sage.categories.finite_dimensional_bialgebras_with_basis.FiniteDimensionalBialgebrasWithBasis method)
(sage.categories.finite_dimensional_coalgebras_with_basis.FiniteDimensionalCoalgebrasWithBasis method)
(sage.categories.finite_dimensional_hopf_algebras_with_basis.FiniteDimensionalHopfAlgebrasWithBasis method)
(sage.categories.finite_dimensional_modules_with_basis.FiniteDimensionalModulesWithBasis method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets method)
(sage.categories.finite_fields.FiniteFields method)
(sage.categories.finite_groups.FiniteGroups method)
(sage.categories.finite_lattice_posets.FiniteLatticePosets method)
(sage.categories.finite_monoids.FiniteMonoids method)
(sage.categories.finite_permutation_groups.FinitePermutationGroups method)
(sage.categories.finite_posets.FinitePosets method)
(sage.categories.finite_semigroups.FiniteSemigroups method)
(sage.categories.finite_weyl_groups.FiniteWeylGroups method)
(sage.categories.g_sets.GSets method)
(sage.categories.gcd_domains.GcdDomains method)
(sage.categories.graded_algebras.GradedAlgebras method)
(sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis method)
(sage.categories.graded_bialgebras.GradedBialgebras method)
(sage.categories.graded_bialgebras_with_basis.GradedBialgebrasWithBasis method)
(sage.categories.graded_coalgebras.GradedCoalgebras method)
(sage.categories.graded_coalgebras_with_basis.GradedCoalgebrasWithBasis method)
(sage.categories.graded_hopf_algebras.GradedHopfAlgebras method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.WithRealizations method)
(sage.categories.graded_modules.GradedModules method)
(sage.categories.graded_modules_with_basis.GradedModulesWithBasis method)
(sage.categories.groupoid.Groupoid method)
(sage.categories.groups.Groups method)
(sage.categories.hecke_modules.HeckeModules method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.hopf_algebras.HopfAlgebras method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets method)
(sage.categories.integral_domains.IntegralDomains method)
(sage.categories.lattice_posets.LatticePosets method)
(sage.categories.left_modules.LeftModules method)
(sage.categories.magmas.Magmas method)
(sage.categories.matrix_algebras.MatrixAlgebras method)
(sage.categories.modular_abelian_varieties.ModularAbelianVarieties method)
(sage.categories.modules.Modules method)
(sage.categories.modules_with_basis.ModulesWithBasis method)
(sage.categories.monoid_algebras.MonoidAlgebras method)
(sage.categories.monoids.Monoids method)
(sage.categories.number_fields.NumberFields method)
(sage.categories.objects.Objects method)
(sage.categories.partially_ordered_monoids.PartiallyOrderedMonoids method)
(sage.categories.pointed_sets.PointedSets method)
(sage.categories.posets.Posets method)
(sage.categories.principal_ideal_domains.PrincipalIdealDomains method)
(sage.categories.quotient_fields.QuotientFields method)
(sage.categories.right_modules.RightModules method)
(sage.categories.ring_ideals.RingIdeals method)
(sage.categories.rings.Rings method)
(sage.categories.rngs.Rngs method)
(sage.categories.schemes.Schemes_abstract method)
(sage.categories.schemes.Schemes_over_base method)
(sage.categories.semigroups.Semigroups method)
(sage.categories.semirings.Semirings method)
(sage.categories.sets_cat.Sets method)
(sage.categories.sets_with_grading.SetsWithGrading method)
(sage.categories.unique_factorization_domains.UniqueFactorizationDomains method)
(sage.categories.vector_spaces.VectorSpaces method)
(sage.categories.weyl_groups.WeylGroups method)
support_of_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
supsets() (sage.categories.examples.with_realizations.SubsetAlgebra method)
SymmetricGroup (class in sage.categories.examples.finite_weyl_groups)
SymmetricGroup.Element (class in sage.categories.examples.finite_weyl_groups)

T

tensor (in module sage.categories.tensor)
tensor() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
tensor_square() (sage.categories.coalgebras.Coalgebras.ParentMethods method)
TensorProductFunctor (class in sage.categories.tensor)
TensorProducts() (in module sage.categories.tensor)
(sage.categories.category.Category method)
(sage.categories.tensor.TensorProductsCategory method)
TensorProductsCategory (class in sage.categories.tensor)
the_answer() (sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
to_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
to_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
to_matrix() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ElementMethods method)
toggling_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
toggling_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
trailing_coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
TriangularModuleMorphism (class in sage.categories.modules_with_basis)
truncate() (sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
type_to_parent() (in module sage.categories.pushout)

U

UniqueFactorizationDomains (class in sage.categories.unique_factorization_domains)
UniqueFactorizationDomains.ElementMethods (class in sage.categories.unique_factorization_domains)
UniqueFactorizationDomains.ParentMethods (class in sage.categories.unique_factorization_domains)
unpickle_map() (in module sage.categories.map)
unrank() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.posets.Posets.ParentMethods method)
upper_set() (sage.categories.posets.Posets.ParentMethods method)

V

VectorFunctor (class in sage.categories.pushout)
VectorSpaces (class in sage.categories.vector_spaces)
VectorSpaces.DualObjects (class in sage.categories.vector_spaces)
VectorSpaces.ElementMethods (class in sage.categories.vector_spaces)
VectorSpaces.ParentMethods (class in sage.categories.vector_spaces)

W

w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weak_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
weak_lattice() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weak_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
weak_order_ideal() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
weak_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weight() (sage.categories.crystals.Crystals.ElementMethods method)
weight_lattice_realization() (sage.categories.crystals.Crystals.ParentMethods method)
WeylGroups (class in sage.categories.weyl_groups)
WeylGroups.ElementMethods (class in sage.categories.weyl_groups)
WeylGroups.ParentMethods (class in sage.categories.weyl_groups)
WithRealizations() (in module sage.categories.with_realizations)
(sage.categories.category.Category method)
WithRealizationsCategory (class in sage.categories.with_realizations)
wrapped_class (sage.categories.examples.finite_monoids.IntegerModMonoid.Element attribute)

Z

zero() (sage.categories.commutative_additive_monoids.CommutativeAdditiveMonoids.ParentMethods method)
(sage.categories.examples.commutative_additive_monoids.FreeCommutativeAdditiveMonoid method)
zero_element() (sage.categories.commutative_additive_monoids.CommutativeAdditiveMonoids.ParentMethods method)

Index

A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | U | V | W | Z

Full index on one page