1 citations · 1 across the 3 of their papers we have counts for
5 papers
Cut notions in extriangulated categories related to Auslander-Buchweitz theory and cotorsion theory
Mindy Huerta, Octavio Mendoza, Corina Sáenz +1
In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in extriangulated categories which extend the given ones for abelian categories. Although these…
Standardly stratified lower triangular -algebras with enough idempotents
E. Marcos, O. Mendoza, C. Sáenz +1
In this paper we study the lower triangular matrix -algebra where and are basic $\mathbb…
Relative Gorenstein objects in abelian categories
Victor Becerril, Octavio Mendoza, Valente Santiago
Let be an abelian category. For a pair of classes of objects in we define the weak and the -Goren…
A generalization of the theory of standardly stratified algebras I: Standardly stratified ringoids
O. Mendoza, M. Ortíz, C. Sáenz +1
We extend the classical notion of standardly stratified -algebra (stated for finite dimensional -algebras) to the more general class of rings, possibly without with enou…
Homological systems in triangulated categories
Octavio Mendoza, Valente Santiago
We introduce the notion of homological systems for triangulated categories. Homological systems generalize, on one hand, the notion of stratifying systems in module categories,…