3 citations · 3 across the 2 of their papers we have counts for
4 papers
-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…
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…
Pure semisimple -cluster tilting subcategories
Ramin Ebrahimi, Alireza Nasr-Isfahani
From the viewpoint of higher homological algebra, we introduce pure semisimple -abelian category, which is analogs of pure semisimple abelian category. Let be an Artin algeb…