activity
20192025
most cited-Gorenstein cluster tilting subcategories

2 citations · 3 across the 7 of their papers we have counts for

collaborators

9 papers

math.RT2025

Strongly flat modules via universal localization

Javad Asadollahi, Rasool Hafezi, Somayeh Sadeghi

In this paper, we investigate a non-commutative version of strongly flat modules, which is based on the concept of universal localization introduced by Cohn. We consider a set …

math.AC2025

The Homotopy Category of Strongly flat modules

Javad Asadollahi, Somayeh Sadeghi

In this paper, we plan to build upon significant results by Amnon Neeman regarding the homotopy category of flat modules to study ${\mathbb{K}}({S\rm{SF}}\mbox{-}R)$, the homotopy…

math.AC2024

Strong Purity and Phantom Morphisms

R. Hafezi, J. Asadollahi, S. Sadeghi +1

Let be a commutative ring and be a multiplicative subset. We introduce and study the concept of -purity based on the notion of -strongly flat modules. The…

math.RT2022

Extending (-)tilting subcategories and (co)silting modules

J. Asadollahi, F. Padashnik, S. Sadeghi +1

Let be a finite dimensional algebra and be the one-point extension algebra of with respect to the finitely generated projective -module . The categories…

math.RT2022★ 1 cited

On -tilting subcategories

Javad Asadollahi, Somayeh Sadeghi, Hipolito Treffinger

The main theme of this paper is to study -tilting subcategories in an abelian category with enough projective objects. We introduce the notion of -cotorsion tor…

math.RT2020

Higher Ideal Approximation Theory

Javad Asadollahi, Somayeh Sadeghi

Let be an -cluster tilting subcategory of an exact category , where is an integer. It is proved by Jasso that if $n> 1…

math.RT2020

Cotorsion Classes in Higher Homological Algebra

Javad Asadollahi, Azadeh Mehregan, Somayeh Sadeghi

In this note, the notion of cotorsion classes is introduced into the higher homological algebra. Our results motivate the definition, showing that this notion of -cotorsion clas…

math.RT2020

On the Monomorphism Category of -Cluster Tilting Subcategories

Javad Asadollahi, Rasool Hafezi, Somayeh Sadeghi

Let be an -cluster tilting subcategory of ${\rm mod}\mbox{-}Λ$, where is an artin algebra. Let denotes the full subcategory of $\mat…

math.RT2019★ 2 cited

-Gorenstein cluster tilting subcategories

Javad Asadollahi, Rasool Hafezi, Somayeh Sadeghi

Let be an artin algebra. In this paper, the notion of -Gorenstein cluster tilting subcategories will be introduced. It is shown that every -cluster ti…