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 idimk(torRi(k,M)zi is called the Poincaré series of M and it is denoted by PRM(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