3 citations · 3 across the 5 of their papers we have counts for
11 papers
Finiteness and purity of subcategories of the module categories
Ziba Fazelpour, Alireza Nasr-Isfahani
In this paper, by using functor rings and functor categories, we study finiteness and purity of subcategories of the module categories. We give a characterisation of contravariantl…
-abelian and -exact categories
Ramin Ebrahimi, Alireza Nasr-Isfahani
In this paper we introduce -abelian and -exact categories by axiomatising properties of -cluster tilting subcategories. We study this categor…
Higher Auslander correspondence for exact categories
Ramin Ebrahimi, Alireza Nasr-Isfahani
Inspired by the recent work of Henrard, Kvamme and van Roosmalen [17], we prove a categorified version of higher Auslander correspondence in the context of exact categories. We def…
Relations for Grothendieck groups of -cluster tilting subcategories
Raziyeh Diyanatnezhad, Alireza Nasr-Isfahani
Let be an artin algebra and be an n-cluster tilting subcategory of mod. We show that has an additive generator if and only if the n-almost split…
Auslander correspondence for kawada rings
Ziba Fazelpour, Alireza Nasr-Isfahani
We study the Auslander ring of a basic left Köthe ring and give a characterization of basic left Köthe rings in terms of their Auslander rings. We also study the functor catego…
Representation of n-abelian categories in abelian categories
Ramin Ebrahimi, Alireza Nasr-Isfahani
Let be a small -abelian category. We show that the category of absolutely pure group valued functors over , denote by $\mathcal{L}_2(\mathcal{M},\math…