3 citations · 3 across the 6 of their papers we have counts for
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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…
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.,…
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…
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…
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…
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…