17 citations · 30 across the 13 of their papers we have counts for
22 papers
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…
The radical of functorially finite subcategories
Raziyeh Diyanatnezhad, Alireza Nasr-Isfahani
Let be an artin algebra and be a functorially finite subcategory of mod which contains or . We use the concept of the infinite radical of …
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…
Cluster algebras generated by projective cluster variables
Karin Baur, Alireza Nasr-Isfahani
We introduce the notion of a lower bound cluster algebra generated by projective cluster variables as a polynomial ring over the initial cluster variables and the so-called project…
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…
A characterization of right 4-Nakayama artin algebras
Alireza Nasr-Isfahani, Mohsen Shekari
We characterize right -Nakayama artin algebras which appear naturally in the study of representation-finite artin algebras. For a right -Nakayama artin algebra , we classi…
Coxeter diagrams and the Köthe's problem
Ziba Fazelpour, Alireza Nasr-Isfahani
A ring is called right Köthe if every right -module is a direct sum of cyclic modules. In this paper, we give a characterization of basic hereditary right Köthe rings in ter…
Representations of right 3-Nakayama algebras
Alireza Nasr-Isfahani, Mohsen Shekari
In this paper we study the category of finitely generated modules over a right -Nakayama artin algebra. First we give a characterization of right -Nakayama artin algebras and…
Maximal forward hom-orthogonal sequences for cluster-tilted algebras of finite type
Alireza Nasr-Isfahani
Let be a cluster-tilted algebra of finite type over an algebraically closed field and be one of the associated tilted algebras. We show that the -modules, ordered form r…
Connections between Representation-Finite and Köthe Rings
Ziba Fazelpour, Alireza Nasr-Isfahani
A ring is called left -cyclic if every left -module is a direct sum of indecomposable modules which are homomorphic image of . In this paper, we give a character…
Right n-Nakayama algebras and their representations
Alireza Nasr-Isfahani, Mohsen Shekari
In this paper we study right -Nakayama algebras. Right -Nakayama algebras appear naturally in the study of representation-finite algebras. We show that an artin algebra i…
Strongness of companion bases for cluster-tilted algebras of finite type
Karin Baur, Alireza Nasr-Isfahani
For every cluster-tilted algebra of simply-laced Dynkin type we provide a companion basis which is strong, i.e. gives the set of dimension vectors of the finitely generated indecom…
Decomposable Leavitt path algebras for arbitrary graphs
Gonzalo Aranda Pino, Alireza Nasr-Isfahani
For any field and for a completely arbitrary graph , we characterize the Leavitt path algebras that are indecomposable (as a direct sum of two-sided ideals) in term…
Singular equivalence of finite dimensional algebras with radical square zero
Alireza Nasr-Isfahani
We prove that the Crisp and Gow's quiver operation on a finite quiver Q produces a new quiver Q' with fewer vertices, such that the finite dimensional algebras kQ/J^2 and kQ'/J^2 a…
The cycline subalgebra of a Kumjian-Pask algebra
Lisa Orloff Clark, Cristóbal Gil Canto, Alireza Nasr-Isfahani
Let be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra inside the Kumjian-Pask algebra . We also prove…
The commutative core of a Leavitt path algebra
Cristóbal Gil Canto, Alireza Nasr-Isfahani
For any unital commutative ring and for any graph , we identify the commutative core of the Leavitt path algebra of with coefficients in , which is a maximal commutat…