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poincare(Module) -- assemble degrees of an module into a polynomial

Synopsis

Description

We compute the Poincare polynomial of a module.
R = ZZ/101[w..z];
M = module monomialCurveIdeal(R,{1,3,4});
poincare M
numerator reduceHilbert hilbertSeries M
Recall that the variables of the polynomial are the variables of the degrees ring.
R=ZZ/101[x, Degrees => {{1,1}}];
M = module ideal x^2;
poincare M
numerator reduceHilbert hilbertSeries M