17 citations · 20 across the 11 of their papers we have counts for
13 papers
On simples in a cosilting heart and mutation of cosilting pairs
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
Let be a finite dimensional algebra. The lattice of torsion pairs in is controlled by cosilting pairs, infinitely generated analogues of support -tilting pai…
Model structures arising from weak cotorsion pairs
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
Let be an abelian category. Beligiannis and Reiten proved that there is a bijective correspondence between so-called projective model structures on and…
Revising Auslander-Gruson-Jensen duality
Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei
For a ring there is a well-known duality between definable subcategories of right -modules and definable subcategories of left modules. This is a consequence of Auslande…
On definable subcategories
Ramin Ebrahimi
Let be a skeletally small additive category. Using the canonical equivalence between two different presentations of the free abelian category over , we g…
Semibrick-cosilting correspondence
Ramin Ebrahimi, Alireza Nasr-Isfahani
Let be a finite dimensional algebra. In this paper we show that there is a natural bijection between cosilting modules in Mod and semibricks in Mod satisfying some condit…
The completion of -abelian categories
Ramin Ebrahimi, Alireza Nasr-Isfahani
Let be a finite-dimensional algebra, and be a -cluster tilting subcategory of mod. From the viewpoint of higher homological algebra, a natural question to…
-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…
Yoneda extensions of abelian quotient categories
Ramin Ebrahimi
Let be a essentially small abelian category and be a Serre subcategory of . Consider the quotient functor $q:\mathcal{A}\rightarrow \mathca…
Gabriel-Quillen embedding for -exact categories
Ramin Ebrahimi
Our first aim is to provide an analog of the Gabriel-Quillen embedding theorem for -exact categories. Also we give an example of an -exact category that is not an -cluster…
Higher Auslander's formula
Ramin Ebrahimi, Alireza Nasr-Isfahani
Let be a small -abelian category. We show that the category of finitely presented functors - modulo the subcategory of effaceable functors $mod_0…
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…