A. Vahidi

activity

20082024

most citedExtension functors of local cohomology modules

16 citations · 26 across the 10 of their papers we have counts for

collaborators

10 papers

math.AC2024

Cofiniteness and finiteness of associated prime ideals of generalized local cohomology modules

Alireza Vahidi, Ahmad Khaksari, Mohammad Shirazipour

Let $n$ be a non-negative integer, $R$ a commutative Noetherian ring, $a$ an ideal of $R$ , $M$ and $N$ two finitely generated $R$ -modules, and $X$ an arbitrary $R$ -modul…

math.RA2022

Foxby equivalence relative to $C$ - $f p_{n}$ -injective and $C$ - $f p_{n}$ -flat modules

Mostafa Amini, Alireza Vahidi, Farideh Rezaei

Let $R$ and $S$ be rings, $C =_{S} C_{R}$ a (faithfully) semidualizing bimodule, and $n$ a positive integer or $n = \infty$ . In this paper, we introduce the concepts of $C$ - $f p_{n}$ -injec…

math.AC2018

Extension functors of generalized local cohomology modules

Alireza Vahidi, Faisal Hassani, Elham Hoseinzade

Let $R$ be a commutative Noetherian ring with non-zero identity, $a$ an ideal of $R$ , $M$ a finitely generated $R$ --module, and $X$ an arbitrary $R$ --module. In this pap…

math.AC2018

Finiteness dimensions and cofiniteness of generalized local cohomology modules

Alireza Vahidi, Moharram Aghapournahr, Elahe Mahmoudi Renani

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

math.AC2011

Lyubeznik numbers of monomial ideals

Josep Alvarez Montaner, Alireza Vahidi

We study Bass numbers of local cohomology modules supported on squarefree monomial ideals paying special attention to Lyubeznik numbers. We build a dictionary between local cohomol…

math.AC2011

Some results on generalized local cohomology modules

Alireza Vahidi, Moharram Aghapournahr

Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$ , $M$ a finite $R$ --module and $X$ an arbitrary $R$ --module. Here, we show that, in the Serre…