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math.RT2024
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 $\CP(Λ) := {\rm Mor}({\rm proj}\mbox{-}Λ)$.…
math.RT2024
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…
math.RT2024
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…