The Poincaré series of the module of derivations of some monomial rings

Authors

  • V. Micale

DOI:

https://doi.org/10.7146/math.scand.a-15047

Abstract

Let $R$ be a quasi-homogeneous $k$-algebra and $M$ be a finitely generated graded $R$-module. The formal power series $\sum_{i}\dim_{k}(\mathrm{tor}_{i}^R(k,M)z^i$ is called the Poincaré series of $M$ and it is denoted by $P_{M}^R(z)$. We remark that the Poincaré series of the module of derivations of a monomial ring is rational and determine it in some cases.

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Published

2008-03-01

How to Cite

Micale, V. (2008). The Poincaré series of the module of derivations of some monomial rings. MATHEMATICA SCANDINAVICA, 102(1), 5–16. https://doi.org/10.7146/math.scand.a-15047

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Articles