i1 : M = random(ZZ^3, ZZ^5) o1 = | 6 4 9 0 2 | | 8 0 8 1 9 | | 0 8 3 1 6 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : phi = makeRingMaps(M,R) o3 = {map(QQ,R,{6, 8, 0}), map(QQ,R,{4, 0, 8}), map(QQ,R,{9, 8, 3}), ------------------------------------------------------------------------ map(QQ,R,{0, 1, 1}), map(QQ,R,{2, 9, 6})} o3 : List |
i4 : apply (gens(R),r->phi#2 r) o4 = {9, 8, 3} o4 : List |
i5 : phi#2 o5 = map(QQ,R,{9, 8, 3}) o5 : RingMap QQ <--- R |