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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
On the vanishing and finiteness properties of generalized local cohomology modules
Type
JournalPaper
Keywords
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Year
2012
Journal International Journal of Algebra
DOI
Researchers Moharram Aghapournahr

Abstract

Let R be a commutative noetherian ring, a an ideal of R and M,N finite R–modules. We prove that the following statements are equivalent. (i) Hi 􀀀(M,N) is finite for all i < n. (ii) CoassR(Hi 􀀀(M,N)) ⊂ V(a) for all i < n. (iii) Hi 􀀀(M,N) is coatomic for all i < n. If pdM is finite and r be a non-negative integer such that r > pdM and Hi 􀀀(M,N) is finite (resp. minimax) for all i ≥ r, then Hi 􀀀(M,N) is zero (resp. artinian) for all i ≥ r. Mathematics Subject Classification: 13D45, 13D07