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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
Extension functors of local cohomology modules
Type
JournalPaper
Keywords
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Year
2011
Journal Bulletin of the Iranian Mathematical Society
DOI
Researchers Moharram Aghapournahr ، Abdoljavad Taherizadeh ، A Vahidi

Abstract

Let $R$ be a commutative Noetherian ring with non-zero identity, $fa$ an ideal of $R$, and $X$ an $R$--module. Here, for fixed integers $s, t$ and a finite $fa$--torsion $R$--module $N$, we first study the membership of $Ext^{s+t}_{R}(N, X)$ and $Ext^{s}_{R}(N, H^{t}_{fa}(X))$ in the Serre subcategories of the category of $R$--modules. Then, we present some conditions which ensure the existence of an isomorphism between them. Finally, we introduce the concept of the Serre cofiniteness as a generalization of cofiniteness and study this property for certain local cohomology modules.