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