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

8 papers

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…

cs.DC2021

Multi-Feasibility Variable Selection

Ali Fathi, Mohammad Rashid, Shayan Ranjbarzadeh +1

This paper is the report of the problem proposed for the !Optimizer 2021 competition, and the solutions of the gold medalist team, i.e., the Panda team. The competition was held in…

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.QA2015★ 7 cited

On Certain Spectral Invariants of Dirac Operators on Noncommutative Tori

Ali Fathi, Masoud Khalkhali

The spectral eta function for certain families of Dirac operators on noncommutative $3$ -torus is considered and the regularity at zero is proved. By using variational techniques, w…

math.QA2014★ 3 cited

The Curvature of the Determinant Line Bundle on the Noncommutative Two Torus

Ali Fathi, Asghar Ghorbanpour, Masoud Khalkhali

We compute the curvature of the determinant line bundle on a family of Dirac operators for a noncommutative two torus. Following Quillen's original construction for Riemann surface…

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…