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Marziyeh Hatamkhani

Marziyeh Hatamkhani

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0003-1021-2827
Education: PhD.
ScopusId: 55647016200
Faculty: Science
Address: Arak University
Phone:

Research

Title
CHARACTERIZATION OF WEAKLY COFINITE LOCAL COHOMOLOGY MODULES
Type
JournalPaper
Keywords
Local cohomology, weakly cofinite modules, weakly Laskerian modules
Year
2023
Journal Bulletin of The Korean Mathematical Society
DOI
Researchers Moharram Aghapournahr ، Marziyeh Hatamkhani

Abstract

Abstract. Let R be a commutative Noetherian ring, a an ideal of R, M an arbitrary R-module and X a finite R-module. We prove a characterization for H i a (M) and H i a (X, M) to be a-weakly cofinite for all i, whenever one of the following cases holds: (a) ara(a) ≤ 1, (b) dim R/a ≤ 1 or (c) dim R ≤ 2. We also prove that, if M is a weakly Laskerian R-module, then H i a (X, M) is a-weakly cofinite for all i, whenever dim X ≤ 2 or dim M ≤ 2 (resp. (R, m) a local ring and dim X ≤ 3 or dim M ≤ 3). Let d = dim M < ∞, we prove an equivalent condition for top local cohomology module H d a (M) to be weakly Artinian.