Computation of Poincare-Betti series for monomial rings
Abstract
The multigraded Poincare-Betti series PRk(x1,...,xn; t) of a monomial ring k[x1,...,xn]/<M> on a finite number of monomial generators has the form (1+tx1)(1+tx2)...(1+txn)/b(R,k)(x1,...,xn; t), where b(R,k)(x1,...,xn;t) is a polynomial depending only on the monomial set M and the characteristic of the field k. I present a computer program designed to calculate the polynomial b(R,k) for a given field characteristic and a given set of monomial generators.
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