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

V. Micale

• 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.