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 …

We extend the classical notion of standardly stratified k-algebra (stated for finite dimensional
k-algebras) to the more general class of rings, possibly without 1, with enough idempotents …

In this paper, we prove that the lower triangular matrix category $\Lambda=\left [\begin
{smallmatrix}\mathcal {T} &0\\M&\mathcal {U}\end {smallmatrix}\right] $, where $\mathcal {T} …

Given a non-negative integer n and a complete hereditary cotorsion triple, the notion of
subcategories in an abelian category is introduced. It is proved that a virtually Gorenstein …

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 …

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 …

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 …

We introduce a relative tilting theory in abelian categories and show that this work offers a
unified framework of different previous notions of tilting, ranging from Auslander-Solberg …

We introduce a relative tilting theory in abelian categories and show that this work offers a
unified framework of different previous notions of tilting, ranging from Auslander-Solberg …

In this paper, we prove that the lower triangular matrix category $\Lambda=\left [\begin
{smallmatrix}\mathcal {T} &0\\M&\mathcal {U}\end {smallmatrix}\right] $, where $\mathcal {T} …