8 papers
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…
ICE-closed subcategories induced by the morphism category of projective modules
Rasool Hafezi, Alireza Nasr-Isfahani, Jiaqun Wei
Let be an Artin -algebra, and ${\rm proj}\mbox{-}Î$ denotes the category of all finitely generated projective -modules. Define $\CP(Î) := {\rm Mor}({\rm proj}\mbox{-}…
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…