Mohsen Asgharzadeh

most citedNotes on modules of finite injective dimension

1 citations · 1 across the 3 of their papers we have counts for

collaborators

6 papers

math.AC2026

Remarks on some Homological Problems regarding Infinite Integral Extensions

Mohsen Asgharzadeh, Shravan Patankar

Let $R$ be an excellent local domain. $R$ is said to be $N B I M$ if $T o r_{i}^{R} (R^{+}, k) = 0$ for some $i \geq d := dim (R)$ . Bhatt, Iyengar, and Ma ask if equi-characteristic zero $N…

math.AC2026★ 1 cited

Notes on modules of finite injective dimension

Mohsen Asgharzadeh

Motivated by Bass' conjecture, we study finitely generated modules of finite injective dimension and the additional constraints they impose on the ambient ring. Beyond ensuring the…

math.AC2026

Remarks on modules of finite projective dimension

Mohsen Asgharzadeh, Elham Mahdavi

We investigate homological and depth-theoretic properties of finitely generated modules of finite projective dimension over Noetherian local rings. A central theme is the study of…

math.AC2026

Annihilator of Ext

Mohsen Asgharzadeh

We investigate the higher divisorial ideal $D (I) := A nn (E x t_{R}^{g} (R / I, R))$ associated to an ideal I of grade g. Our main focus is the containment problem $D (I) \subseteq I$ …

math.AC2026

Integral closure of 1-dimensional rings

Mohsen Asgharzadeh

We study certain properties of modules over 1-dimensional local integral domains. First, we examine the order of the conductor ideal and its expected relationship with multiplicity…

math.AC2025

Vector space summands of lower syzygies

Mohsen Asgharzadeh, Michael DeBellevue, Souvik Dey +2

In this paper, we investigate problems concerning when the residue field $k$ of a local ring $(R, m$ , $k)$ appears as a direct summand of syzygy modules, from two perspectives…