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Moharram Aghapournahr

Moharram Aghapournahr

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-8265-9700
Education: PhD.
ScopusId: 24179345700
Faculty: Science
Address: Arak University
Phone:

Research

Title
Local cohomology and Serre subcategories
Type
JournalPaper
Keywords
Local cohomology; Serre subcategory; S-regular sequences; S-depth
Year
2008
Journal Journal of Algebra
DOI
Researchers Moharram Aghapournahr ، Leif Melkersson

Abstract

The membership of the local cohomology modules Hn (M) of a module M in certain Serre subcategories aof the category of modules is studied from below (i < n) and from above (i > n). Generalizations of depth and regular sequences are defined. The relation of these notions to local cohomology are found. It is shown that the membership of the local cohomology modules of a finite module in a Serre subcategory in the upper range just depends on the support of the module.