General formal local cohomology modules

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2020Publisher:Luhansk Taras Shevchenko National UniversityJournal:Algebra and Discrete Mathematics, volume 30, pages 254-266 (issn: 1726-3255, eissn: 2415-721X,

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Authors: Rezaei Sh.;

doi: 10.12958/adm1068

General formal local cohomology modules

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Abstract

Let (R,m) be a local ring, Φ a system of ideals of R and M a finitely generated R-module. In this paper, we define and study general formal local cohomology modules. We denote the ith general formal local cohomology module M with respect to Φ by FiΦ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules.

Related Organizations

Payame Noor University
Iran (Islamic Republic of)

Keywords

system of ideals, Local cohomology and commutative rings, Cohen-Macaulay modules, formal local cohomology, local cohomology

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