Alireza Nasr-Isfahani

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20212025

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math.RT2024

$r$ ICE-closed subcategories induced by the morphism category of projective modules

Rasool Hafezi, Alireza Nasr-Isfahani, Jiaqun Wei

Let $Λ$ be an Artin $R$ -algebra, and ${\rm proj}\mbox{-}Λ$ denotes the category of all finitely generated projective $Λ$ -modules. Define $\CP(Λ) := {\rm Mor}({\rm proj}\mbox{-}Λ)$.…

math.RT2024

The rigidity of filtered colimits of n-cluster tilting subcategories

Ziba Fazelpour, Alireza Nasr-Isfahani

Let $Λ$ be an artin algebra and $M$ be an n-cluster tilting subcategory of $Λ$ -mod with $n \geq 2$ . From the viewpoint of higher homological algebra, a question that natura…

math.RT2024

Locally finitely presented Grothendieck categories and the pure semisimplicity conjecture

Ziba Fazelpour, Alireza Nasr-Isfahani

In this paper, we investigate locally finitely presented pure semisimple (hereditary) Grothendieck categories. We show that every locally finitely presented pure semisimple (resp.,…

rICE-closed subcategories induced by the morphism category of projective modules

The rigidity of filtered colimits of n-cluster tilting subcategories

Locally finitely presented Grothendieck categories and the pure semisimplicity conjecture

$r$ ICE-closed subcategories induced by the morphism category of projective modules