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