On the Structure of Sequentially Generalized Cohen-Macaulay Modules
| dc.creator | Cuong, Nguyen Tu | |
| dc.creator | Cuong, Doan Trung | |
| dc.date | 2007-01-25 | |
| dc.date.accessioned | 2026-07-07T07:43:01Z | |
| dc.date.available | 2026-07-07T07:43:01Z | |
| dc.description | 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 $M$: $M_0\subset M_1\subset ... \subset M_t=M$ such that $\dim M_0<\dim M_1< >... <\dim M_t$ 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. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701729 | |
| dc.identifier | http://arxiv.org/abs/math/0701729 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122663 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10; 13H15; 13D45 | |
| dc.title | On the Structure of Sequentially Generalized Cohen-Macaulay Modules | |
| dc.type | text |