i1 : M = random(ZZ^3, ZZ^5) o1 = | 0 2 6 6 4 | | 7 4 8 1 1 | | 5 0 7 7 8 | 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,{0, 7, 5}), map(QQ,R,{2, 4, 0}), map(QQ,R,{6, 8, 7}), ------------------------------------------------------------------------ map(QQ,R,{6, 1, 7}), map(QQ,R,{4, 1, 8})} o3 : List |
i4 : apply (gens(R),r->phi#2 r) o4 = {6, 8, 7} o4 : List |
i5 : phi#2 o5 = map(QQ,R,{6, 8, 7}) o5 : RingMap QQ <--- R |