activity
20212025
collaborators

5 papers

math.RT2025

Coxeter matrices and homological quadratic forms of -hereditary algebras

Raziyeh Diyanatnezhad, Alireza Nasr-Isfahani

We study the Coxeter matrices and the homological quadratic forms of -hereditary algebras within the framework of higher dimensional Auslander--Reiten theory. Let be a finit…

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

The rigidity of filtered colimits of n-cluster tilting subcategories

Ziba Fazelpour, Alireza Nasr-Isfahani

Let be an artin algebra and be an n-cluster tilting subcategory of -mod with . 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.,…

math.RT2021

Morita equivalence and Morita duality for rings with local units and subcategory of projective unitary modules

Ziba Fazelpour, Alireza Nasr-Isfahani

We study Morita equivalence and Morita duality for rings with local units. We extend the Auslander's results on the theory of Morita equivalence and the Azumaya-Morita duality theo…