MCMApproximations : Index
- approximation -- returns pair of components of the map from the MCM approximation
- approximation(..., CoDepth => ...) -- returns pair of components of the map from the MCM approximation
- approximation(..., Total => ...) -- returns pair of components of the map from the MCM approximation
- approximation(Module) -- returns pair of components of the map from the MCM approximation
- auslanderInvariant -- measures failure of surjectivity of the essential MCM approximation
- auslanderInvariant(..., CoDepth => ...) -- measures failure of surjectivity of the essential MCM approximation
- auslanderInvariant(Module) -- measures failure of surjectivity of the essential MCM approximation
- Characteristic -- Option for setupRings(c,d,Characteristic=>q)
- coApproximation -- Maximal Cohen-Macaulay co-approximation of M
- coApproximation(..., CoDepth => ...) -- Maximal Cohen-Macaulay co-approximation of M
- coApproximation(..., Total => ...) -- Maximal Cohen-Macaulay co-approximation of M
- coApproximation(Module) -- Maximal Cohen-Macaulay co-approximation of M
- CoDepth -- Option for syzygyModule(-k,M,CoDepth => m)
- MCMApproximations -- Maximal Cohen-Macaulay Approximations and Complete Intersections
- profondeur -- computes the profondeur with respect to an ideal
- profondeur(Ideal,Module) -- computes the profondeur with respect to an ideal
- profondeur(Module) -- computes the profondeur with respect to an ideal
- profondeur(Ring) -- computes the profondeur with respect to an ideal
- Randomize -- Option for setupRings(c,d,Characteristic=>q, Randomize=>false)
- setupModules -- Creates a list of modules and maps over complete intersection for experiments
- setupModules(List,Module) -- Creates a list of modules and maps over complete intersection for experiments
- setupRings -- Sets up a complete intersection for experiments
- setupRings(..., Characteristic => ...) -- Sets up a complete intersection for experiments
- setupRings(..., Randomize => ...) -- Sets up a complete intersection for experiments
- setupRings(Matrix) -- Sets up a complete intersection for experiments
- setupRings(ZZ,ZZ) -- Sets up a complete intersection for experiments
- socleDegrees -- lists the degrees of the socle generators
- socleDegrees(Module) -- lists the degrees of the socle generators
- syzygyModule -- Produces the k-th syzygy module (k \in ZZ)
- syzygyModule(..., CoDepth => ...) -- Produces the k-th syzygy module (k \in ZZ)
- syzygyModule(ZZ,Module) -- Produces the k-th syzygy module (k \in ZZ)
- Total -- option for approximation