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