Poincaré series of monomial rings with minimal Taylor resolution
Keywords:
Poincaré series, Monomial ideal, Taylor resolutionAbstract
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.
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