Let $\mathcal {C} $ be a locally support-finite $ k $-category with a $ G $-action. It is proved
that a Galois covering functor $ P:\mathcal {C}→\mathcal {C}/G $ induces a Galois covering …

Let C be a locally bounded k-category, where k is a field. We prove that C is pure-
semisimple, that is, every object of Mod-C is pure-projective if and only if every family of …

Let G be a group acting on a category C. We give a definition for a functor F: C→ C′ to be a
G-covering and three constructions of the orbit category C/G, which generalizes the notion of …

Let G be a group of automorphisms of a category C. We give a definition for a functor F: C→
C′ to be a G-covering and three constructions of the orbit category C/G, which generalizes …

Coverings in the representation theory of algebras were introduced for the Auslander–
Reiten quiver of a representation-finite algebra in [Ch. Riedtmann, Algebren …

In an arbitrary Grothendieck category, we find necessary and sufficient conditions for the
class of FP n-injective objects to be a torsion class. By doing so, we propose a notion of n …

Given a finite category T, we consider the functor category [T, A], where A can in particular
be any quasi-abelian category. Examples of quasi-abelian categories are given by any …

GALOIS AND UNIVERSAL COVERINGS OF LINEAR CATEGORIES AND FIBER
PRODUCTS Page 1 Journal of Algebra and Its Applications Vol. 11, No. 2 (2012) 1250024 (9 …

Let G be a group of automorphisms of a category C. We give a definition for a functor F: C→
C′ to be a G-covering and three constructions of the orbit category C/G, which generalizes …

We study the transfer of (dual) relative CS-Rickart properties via functors between abelian
categories. We consider fully faithful functors as well as adjoint pairs of functors. We give …