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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
Some results on generalized local cohomology modules
Type
JournalPaper
Keywords
Generalized local cohomology modules; Serre subcategories.
Year
2015
Journal Communications in Algebra
DOI
Researchers Moharram Aghapournahr ، A Vahidi

Abstract

Let R be a commutative Noetherian ring with nonzero identity, an ideal of R, M a finite R–module, X an arbitrary R–module, and n a non-negative integer. Here, we show that, in the Serre subcategories of the category of R–modules, how the generalized local cohomology modules, the ordinary local cohomology modules, and the extension modules behave similarly at the initial points i ≤ n. We conclude with some Artinianness and cofiniteness results for Hn M X , and some finiteness results for SuppR Hn M X and Ass R Hn M X .