i1 : R = QQ[x,y]; |
i2 : M = image vars R o2 = image | x y | 1 o2 : R-module, submodule of R |
i3 : N = coker presentation M o3 = cokernel {1} | -y | {1} | x | 2 o3 : R-module, quotient of R |
i4 : f = map(M,N,1) o4 = {1} | 1 0 | {1} | 0 1 | o4 : Matrix |
i5 : isWellDefined f o5 = true |
i6 : isIsomorphism f o6 = true |
i7 : g = map(M,cover M,1) o7 = {1} | 1 0 | {1} | 0 1 | o7 : Matrix |
i8 : isWellDefined g o8 = true |
i9 : isIsomorphism g o9 = false |
i10 : h = map(cover M,M,1) o10 = {1} | 1 0 | {1} | 0 1 | o10 : Matrix |
i11 : isWellDefined h o11 = false |