activity
20082023
most citedSome results on the local cohomology modules with respect to a pair of ideals

4 citations · 7 across the 14 of their papers we have counts for

collaborators

16 papers

math.AC2023

Abelian category of cominimax modules and local cohomology

Moharram Aghapournahr

Let be a commutative Noetherian ring, $\fa$ an ideal of , an arbitrary -module and a finite -module. We prove that the category of $\fa$-cominimax modules is a…

math.AC2023

Cofiniteness of generalized loca cohomology modules with respect to a system of ideals

Moharram Aghapournahr, Tran Tuan Nam, Nguyen Thanh Nam +1

Let be a commutative Noetherian ring, a system of ideals of and two -modules. In this paper, we study the Artinianness and cofiniteness of the module $H^i_Φ(M,…

math.AC2023

A characterization result of cofinite local cohomology modules

Moharram Aghapournahr, Leif Melkersson

Let be a commutative Noetherian ring, $\fa$ an ideal of , an arbitrary -module and a finite -module. We prove that \cite[Theorem 2.1]{Mel} and \cite[Propositio…

math.AC2019

Lower bounds of certain general local cohomology modules

Mahmoud Behrouzian, Moharram Aghapournahr

Let be a commutative Noetherian ring, a system of ideals of , $\fa \in Φ$, an arbitrary -module and a non-negative integer. Let be a Melkersson…

math.AC2018

Finiteness dimensions and cofiniteness of generalized local cohomology modules

Alireza Vahidi, Moharram Aghapournahr, Elahe Mahmoudi Renani

Let be a commutative Noetherian ring with non-zero identity, and ideal of , a finite --module, and a non-negative integer. In this paper, for an ar…

math.AC2017

Weakly cofiniteness of local cohomology modules

Moharram Aghapournahr

Let be a commutative Noetherian ring, a system of ideals of and . Let be an -module (not necessary -torsion) such that , then the -mo…