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