4 citations · 4 across the 4 of their papers we have counts for
5 papers
Recollements of Triangulated Categories and the Singularity Category of a Triangular Matrix Category
Juan Andrés Orozco Gutiérrez, Valente Santiago Vargas
Introduced by Buchweitz, the singularity category of an algebra measures its homological singularity, vanishing if and only if has finite global dimension. This notion exte…
Homological epimorphisms in functor categories and singularity categories
Juan Andrés Orozco Gutiérrez, Valente Santiago Vargas
Given a homological epimorphism between -categories, we show that if the ideal satisfies certain conditions,…
Homological theory of -idempotent ideals in dualizing varieties
Luis Gabriel Rodríguez Valdés, Valente Santiago Vargas, Martha Lizbeth Shaid Sandoval Miranda
In this work, we develop the theory of -idempotent ideals in the setting of dualizing varieties. Several results given previously in \cite{APG} by M. Auslander, M. I. Platzeck,…
Triangular Matrix Categories II: Recollements and functorially finite subcategories
Alicia León-Galeana, Martín Ortiz-Morales, Valente Santiago Vargas
In this paper we continue the study of triangular matrix categories initiated in […
Triangular Matrix Categories I: Dualizing Varieties and generalized one-point extension
Alicia León-Galeana, Martín Ortiz-Morales, Valente Santiago Vargas
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…