Asymptotic behaviour of good systems of parameters of sequentially generalized Cohen-Macaulay modules

Abstract

Let (R, m) be a commutative Noetherian local ring. A finitely generated R-module M is called sequentially generalized Cohen-Macaulay module if there is a filtration M 0⊆ M 1⊆···⊆ M t= M of submodules of M such that 0= dim M 0< dim M 1<···< dim M t and each M i/M i–1 is a generalized Cohen-Macaulay module. In this paper we study the asymptotic behavior of good systems of parameters, introduced in NT Cuong, DT Cuong, On sequentially Cohen- Macaulay modules, Kodai Math. J. 30 (2007), 409-428, of sequentially generalized Cohen ...