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