5 citations · 6 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
Duality and Serre functor in homotopy categories
J. Asadollahi, N. Asadollahi, R. Hafezi +1
For a (right and left) coherent ring , we show that there exists a duality between homotopy categories ${\mathbb{K}}^{\rm{b}}({\rm mod}{\mbox{-}}A^{\rm op})$ and ${\mathbb{K}}^{…
Auslander's Formula: Variations and Applications
Javad Asadollahi, Najmeh Asadollahi, Rasool Hafezi +1
According to the Auslander's formula one way of studying an abelian category is to study ${\rm mod}\mbox{-}{\mathcal{C}}$, that has nicer homological properties tha…
Derived equivalences of functor categories
Javad Asadollahi, Rasool Hafezi, Razieh Vahed
Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. In the first part of this paper, we provide a version of Rickard's theorem on derived equivale…
Recollements of Cohen-Macaulay Auslander algebras and Gorenstein derived categories
Javad Asadollahi, Rasool Hafezi, Razieh Vahed
Let , and be associative rings with identity. Using a result of Koenig we show that if we have a $\mathbb{D}^{\rm{b}}({\rm{mod\mbox{-}}} )$ level recollement, writing $A…
On relative derived categories
J. Asadollahi, P. Bahiraei, R. Hafezi +1
The paper is devoted to study some of the questions arises naturally in connection to the notion of relative derived categories. In particular, we study invariants of recollements…