Let $\mathcal {A} $ be a locally bounded $ k $-category and $ G $ a torsion-free group of $ k
$-linear automorphisms of $\mathcal {A} $ acting freely on the objects of $\mathcal {A}, $ and …

Based on Beligiannis's theory in [Beligiannis, A.(2000). Relative homological algebra and
purity in triangulated categories. J. Algebra 227 (1): 268–361], we introduce and study E …

Almost split sequences lie in the heart of Auslander-Reiten theory. This paper deals with the
structure of almost split sequences with certain ending terms in the morphism category of an …

In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors Mod(C), from a skeletally small preadditive category C to the category …

Mathematics | Free Full-Text | Tilting and Cotilting in Functor Categories Next Article in Journal
Preliminary Results on the Preinduction Cervix Status by Shear Wave Elastography Previous …

Following Mitchell's philosophy, in this paper we define the analogous of the triangular
matrix algebra to the context of rings with several objects. Given two additive categories …

For a nice-enough category $\mathcal {C} $, we construct both the morphism category ${\rm
H}(\mathcal {C}) $ of $\mathcal {C} $ and the category ${\rm mod}\mbox {-}\mathcal {C} $ of …

Let $\text {Gprj}\mbox {-}\Lambda $ denote the category of Gorenstein projective modules
over an Artin algebra $\Lambda $ and the category $\text {mod}\mbox {-}(\underline {\text …

Quasi-hereditary algebras were introduced by E. Cline, B. Parshall and L. Scott in order to
deal with highest weight categories as they arise in the representation theory of semi-simple …

In this paper we continue the study of triangular matrix categories Λ= T 0 MU initiated in
León-Galeana et al.. First, given a additive category C and an ideal IB in C, we prove a well …