i1 : M = random(ZZ^3, ZZ^5) o1 = | 6 9 2 7 4 | | 0 9 5 0 1 | | 1 2 7 3 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,{6, 0, 1}), map(QQ,R,{9, 9, 2}), map(QQ,R,{2, 5, 7}), ------------------------------------------------------------------------ map(QQ,R,{7, 0, 3}), map(QQ,R,{4, 1, 8})} o3 : List |
i4 : apply (gens(R),r->phi#2 r) o4 = {2, 5, 7} o4 : List |
i5 : phi#2 o5 = map(QQ,R,{2, 5, 7}) o5 : RingMap QQ <--- R |