3 papers
math.CT2025
Gorenstein categories relative to G-admissible triples
Sergio Estrada, Octavio Mendoza, Marco A. Pérez
We present the notion of Gorenstein categories relative to G-admissible triples. This is a relativization of the concept of Gorenstein category (an abelian category with enough pro…
math.RT2024
Corrigendum to "-Periodic Gorenstein objects" [J. Algebra 621 (2023)]
Mindy Y. Huerta, Octavio Mendoza, M. A. Pérez
Let be a GP-admissible pair and be a GI-admissible pair of classes of objects in an abelian category , and consider the class $π\ma…
math.RT2023
Categories of quiver representations and relative cotorsion pairs
Alejandro Argudín Monroy, Octavio Mendoza
We study the category of representations of a quiver with values in an abelian category . For this purpose we introduce the mes…