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- W2952062753 abstract "A finitely generated module $M$ over a local ring is called a sequentially generalized Cohen-Macaulay module if there is a filtration of submodules of $M$: $M_0subset M_1subset ... subset M_t=M$ such that $dim M_0 ... <dim M_t$ and each $M_i/M_{i-1}$ is generalized Cohen-Macaulay. The aim of this paper is to study the structure of this class of modules. Many basic properties of these modules are presented and various characterizations of sequentially generalized Cohen-Macaulay property by using local cohomology modules, theory of multiplicity and in terms of systems of parameters are given. We also show that the notion of dd-sequences defined in cite{cc} is an important tool for studying this class of modules." @default.
- W2952062753 created "2019-06-27" @default.
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- W2952062753 date "2007-01-25" @default.
- W2952062753 modified "2023-09-28" @default.
- W2952062753 title "On the Structure of Sequentially Generalized Cohen-Macaulay Modules" @default.
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