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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
Cominimaxness and Associated Primes of Generalized Local Cohomology Module
Type
JournalPaper
Keywords
Generalized local cohomology modules; Associated primes; Cominimax modules; Weakly Laskerian modules
Year
2020
Journal Southeast Asian Bulletin of Mathematics
DOI
Researchers Moharram Aghapournahr

Abstract

Let R be a commutative Noetherian ring, a an ideal of R and M a finite R–modules. Let X be an arbitrary R–module (not necessary finite) and n be a non- negative integer. It is shown that n n i (i) SuppR (H a (M, X)) ⊆ ∪i=0 Supp R (Ha (X)); (ii) AssR(H a n (M, X)) ⊆ AssR(Ha n (X)) ∪ (∪n−1 i=0 SuppR (Ha i (X))). We also study cominimaxness of generalized local cohomology modules in several cases.