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

• Autores: V. Micale
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 102, Nº 1, 2008, págs. 5-16
• Idioma: inglés
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• Resumen

  • 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.