9 citations · 12 across the 7 of their papers we have counts for
7 papers
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…
On the Iyama-Yoshino reduction in extriangulated categories
Mindy Y. Huerta
In this paper, we provide an interpretation of the existing reduction process for extriangulated categories in general. This process allows us to obtain a new category which, for w…
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…
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…
-periodic Gorenstein objects
Mindy Huerta, Octavio Mendoza, Marco A. Pérez
We present and study the concept of -periodic Gorenstein objects relative to a pair of classes of objects in an abelian category, as a generalization of -st…
Cut cotorsion pairs
Mindy Huerta, Octavio Mendoza, Marco A. Pérez
We present the concept of cotorsion pairs cut along subcategories of an abelian category. This provides a generalization of complete cotorsion pairs, and represents a general frame…
-Cotorsion pairs
Mindy Huerta, Octavio Mendoza, Marco A. Pérez
Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective modules over an Iwanaga-Gorenstein ring, we present the concept of left and right -cotor…