8 citations · 23 across the 28 of their papers we have counts for
35 papers · 1 filter
On simples in a cosilting heart and mutation of cosilting pairs
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
Let be a finite dimensional algebra. The lattice of torsion pairs in is controlled by cosilting pairs, infinitely generated analogues of support -tilting pai…
Model structures arising from weak cotorsion pairs
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
Let be an abelian category. Beligiannis and Reiten proved that there is a bijective correspondence between so-called projective model structures on and…
Revising Auslander-Gruson-Jensen duality
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
For a ring there is a well-known duality between definable subcategories of right -modules and definable subcategories of left modules. This is a consequence of Auslande…
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 …
Covering techniques in higher Auslander-Reiten theory
Javad Asadollahi, Rasool Hafezi, Zohreh Sourani +1
This paper investigates the behavior of -precluster tilting subcategories under the push-down functor in the context of Galois coverings of locally bounded categories. Building…
On the monomorphism category of large modules
Rasool Hafezi, Javad Asadollahi, Razieh Vahed +1
Let be an associative ring with identity. This paper investigates the structure of the monomorphism category of large -modules and establishes connections with the category…
ICE-closed subcategories induced by the morphism category of projective modules
Rasool Hafezi, Alireza Nasr-Isfahani, Jiaqun Wei
Let be an Artin -algebra, and ${\rm proj}\mbox{-}Λ$ denotes the category of all finitely generated projective -modules. Define $\CP(Λ) := {\rm Mor}({\rm proj}\mbox{-}Λ)$.…
G-semisimple algebras
Rasool Hafezi, Abdolnaser Bahlekeh
Let be an Artin algebra and ${\mathsf{mod}}\mbox{-} ({\underline{\mathsf{Gprj}}}\mbox{-}Λ)$ the category of finitely presented functors over the stable category ${\underline{\m…
2-categorical approach to unifying constructions of precoverings and its applications
Rasool Hafezi, Hideto Asashiba, Mohammad Hossein Keshavarz
Throughout this paper is a fixed group, and is a fixed field. All categories are assumed to be -linear. First we give a systematic way to induce -precoverings by adjo…
The Auslander-Reiten theory of the morphism category of projective modules
Rasool Hafezi, Jiaqun Wei
We investigate the structure of certain almost split sequences in , i.e., the category of morphisms between projective modules over an Artin algebra . The catego…
From Morphism Categories to Functor Categories
Rasool Hafezi, Hossein Eshraghi
For a nice-enough category , we construct both the morphism category of and the category ${\rm mod}\mbox{-}\mathcal{C}$ of all fin…
On the stable Auslander-Reiten components of certain monomorphism categories
Rasool Hafezi, Yi Zhang
Let be an Artin algebra and let $\rm{Gprj}\mbox{-}Λ$ denote the class of all finitely generated Gorenstein projective -modules. In this paper, we study the components of the…
When stable Cohen-Macaulay Auslander algebra is semisimple
Rasool Hafezi
Let $\text{Gprj}\mbox{-}Λ$ denote the category of Gorenstein projective modules over an Artin algebra and the category $\text{mod}\mbox{-} (\underline{\text{Gprj}}\mbox{-}Λ)$ o…
Determination of some almost split sequences in morphism categories
Rasool Hafezi, Hossein Eshraghi
Almost split sequences lie in the heart of Auslander-Reiten theory. This paper deals with the structure of almost split sequences with certain ending terms in the morphism category…
Covering theory, (mono)morphism categories and stable Auslander algebras
Rasool Hafezi, Elham Mahdavi
Let be a locally bounded -category and a torsion-free group of -linear automorphisms of acting freely on the objects of and $F:…
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…
Relative Singularity categories and singular equivalences
Rasool Hafezi
Let be a right notherian ring. We introduce the concept of relative singularity category of with respect to a contravariantly finite subcategory $\math…
A functorial approach to categorical resolutions
R. Hafezi, M. H. Keshavarz
Using a relative version of Auslander's formula, we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution. Thi…
Different exact structures on the monomorphism categories
Rasool Hafezi, Intan Muchtadi-Alamsyah
Let be a resolving and contravariantly finite subcategory of $\rm{mod}\mbox{-}Λ$, the category of finitely generated right -modules. We associate to …
-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…
From subcategories to the entire module categories
Rasool Hafezi
In this paper we show that how the representation theory of subcategories (of the category of modules over an Artin algebra) can be connected to the representation theory of all mo…
A ring theoretic approach to the finite representation type
Rasool Hafezi
An Artin algebra is said to be of finite Cohen-Macaulay type, -finite for short, if the full subcategory $\rm{Gprj}\mbox{-} Λ$ of finitely generated Gorenstein project…
On Cohen-Macaulay Auslander algebras
Rasool Hafezi
Cohen-Macaulay Auslander algebras are the endomorphism algebras of representation generators of the subcategory of Gorenstein projective modules over -finite algebras. In…
On relative Auslander algebras
Javad Asadollahi, Rasool Hafezi
Relative Auslander algebras were introduced and studied by Beligiannis. In this paper, we apply intermediate extension functors associated to certain recollements of functor catego…