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math.RA2023
Relative Higher Homology and Representation Theory
Rasool Hafezi, Javad Asadollahi, Yi Zhang
Higher homological algebra, basically done in the framework of an -cluster tilting subcategory of an abelian category , has been the topic of several…
math.RT2023
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…
math.RT2023
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…