14 papers · 1 filter
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…
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 …