On the Denominator of the Poincar\'e series for monomial quotient rings

Hara Charalambous

On the Denominator of the Poincar\'e series for monomial quotient rings

Commutative Algebra 2007-05-23 v1

Authors: Hara Charalambous

Abstract

Let $S=\Bbbk[x_1,..., x_n]$ be a polynomial ring over a field $\Bbbk$ and $I$ a monomial ideal of $S$ . It is well known that the Poincar\'e series of $\Bbbk$ over $S/I$ is rational. We describe the coefficients of the denominator of the series and study the multigraded homotopy Lie algebra of $S/I$ .

Keywords

monomial ideal poincaré series denominator rational series multigraded homotopy lie algebra polynomial ring monomial quotient ring

Cite

@article{arxiv.math/0412295,
  title  = {On the Denominator of the Poincar\'e series for monomial quotient rings},
  author = {Hara Charalambous},
  journal= {arXiv preprint arXiv:math/0412295},
  year   = {2007}
}

Comments

Communications in Algebra, accepted

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