Ali Fathi

activity

20122023

most citedOn Certain Spectral Invariants of Dirac Operators on Noncommutative Tori

7 citations · 11 across the 6 of their papers we have counts for

collaborators

Showing math.ACShow all

5 papers · 1 filter

math.AC2023

Lichtenbaum-Hartshorne vanishing theorem for generalized local cohomology modules

Ali Fathi

Let $R$ be a commutative Noetherian ring, and let $a$ be a proper ideal of $R$ . Let $M$ be a non-zero finitely generated $R$ -module with the finite projective dimension $…

math.AC2022

Annihilator of Top Local Cohomology and Lynch's Conjecture

Ali Fathi

Let $R$ be a commutative Noetherian ring, $a$ a proper ideal of $R$ and $N$ a non-zero finitely generated $R$ -module with $N \neq = a N$ . Let $d$ (respectively $c$ …

math.AC2021

On the finiteness of local homology modules

Ali Fathi, Alireza Hajikarimi

Let $R$ be a commutative Noetherian ring and $a$ be an ideal of $R$ . Suppose $M$ is a finitely generated $R$ -module and $N$ is an Artinian $R$ -module. We define the conc…

math.AC2020

Some bounds for the annihilators of local cohomology and Ext modules

Ali Fathi

Let $a$ be an ideal of a commutative Noetherian ring $R$ and $t$ be a non-negative integer. Let $M$ and $N$ be two finitely generated $R$ -modules. In certain cases, we gi…

math.AC2012★ 1 cited

Filter regular sequences and generalized local cohomology modules

Ali Fathi, Abolfazl Tehranian, Hossein Zakeri

Let $a$ , $b$ be ideals of a commutative Noetherian ring $R$ and let $M$ , $N$ be finite $R$ -modules. The concept of an $a$ -filter grade of $b$ on $M$ is intr…