a Boolean value, true if the given representation of M is a free module and false otherwise
Description
This function checks if the module M is equal to its ambient free module by examining its matrix of generators and its matrix of relations.
To determine whether M is isomorphic to a free module, use minimalPresentationM.
i1 : R = ZZ/7[x,y];
i2 : M = kernel vars R
o2 = image {1} | -y |
{1} | x |
2
o2 : R-module, submodule of R
i3 : isFreeModule M
o3 = false
i4 : isFreeModule prune M
o4 = true
See also
ambient -- ambient free module of a subquotient, or ambient ring