Poincaré series of monomial rings with minimal Taylor resolution

Abstract

We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q where I_q is a monomial ideal generated by the q’th power of monomial generators of I. We compute the Poincaré series for a new class of monomial ideals with minimal Taylor resolution. We also discuss the structure a monomial ring with minimal Taylor resolution where the ideal is generated by quadratic monomials.

Keywords

• Poincaré series
• Monomial ideal
• Taylor resolution