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