27 citations · 42 across the 10 of their papers we have counts for
11 papers
A recollement of differential graded categories
M. Lizbeth Shaid Sandoval Miranda, Valente Santiago Vargas, Edgar O. Velasco Páez
In this paper, we prove that given a differential graded category C and B a full differential graded subcategory closed under coproducts, there is a canonical recollement of differ…
Quotient categories with exact structure from -rigid subcategories in extriangulated categories
Mindy Y. Huerta, Octavio Mendoza, Corina Sáenz +1
In this work we introduce the notion of higher -extension groups for an extriangulated category and study the quotients $\mathcal{X}_{n+1}^{\vee}/[\mathca…
Homological Epimorphisms and Hochschild-Mitchell Cohomology
V. Santiago-Vargas, E. O. Velasco-Páez
In this work, we study the Hochschild-Mitchell Cohomology of triangular matrix categories. Given a triangular matrix category $Λ=\left[ \begin{smallmatrix} \mathcal{T} & 0 \\ M & \…
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…
Frobenius pairs in abelian categories: correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts
Víctor Becerril, Octavio Mendoza Hernandez, Marco A. Pérez +1
In this work, we revisit Auslander-Buchweitz Approximation Theory and find some relations with cotorsion pairs and model category structures. From the notions of relatives generato…
Coherent subcategories of finitely generated -modules
E. N. Marcos, O. Mendoza, C. Sáenz +1
We explore some properties of wide subcategories of the category mod of finitely generated left -modules, for some artin algebra In particular we look at wide finite…
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,…
Auslander-Buchweitz approximation theory for triangulated categories
O. Mendoza, E. C. Saenz, V. Santiago +1
We introduce and develop an analogous of the Auslander-Buchweitz approximation theory (see \cite{AB}) in the context of triangulated categories, by using a version of relative homo…