27 citations · 27 across the 7 of their papers we have counts for
9 papers
Cotorsion pairs and model structures induced by resolution dimensions relative to Frobenius pairs
Víctor Becerril, Marco A. Pérez
We explore some methods to obtain cotorsion pairs and model category structures from a Frobenius pair. Specifically, we consider a type of Frobenius pair in an ab…
Gorensteinness from duality pairs induced via Foxby equivalences
Víctor Becerril, Marco A. Pérez
We define and study induced duality pairs under Foxby equivalences. Given a semidualizing -bimodule , if and $(\math…
Gorenstein -flat modules and weak global dimensions
Víctor Becerril
In this paper we characterize the relative Gorenstein weak global dimension of the generalized Gorenstein -flat -modules and Projective Coresolved …
Homological and homotopical aspects of Gorenstein flat modules and complexes relative to duality pairs
Víctor Becerril, Marco A. Pérez
We study homological and homotopical aspects of Gorenstein flat modules over a ring with respect to a duality pair . These modules are defined as cycles of exact c…
-Gorenstein flat homological dimensions
Víctor Becerril
In this paper we develop the homological properties of the -Gorenstein flat -modules proposed by Gille…
Balanced systems for
Víctor Becerril, Octavio Mendoza, Marco A. Pérez
From the notion of (co)generator in relative homological algebra, we present the concept of finite balanced system as a tool to induce balan…
Relative global Gorenstein dimensions
Víctor Becerril
Let be an abelian category. In this paper, we investigate the global -Gorenstein projective dimension $\mathrm{gl.GPD}(\mathcal{X} ,\math…
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…
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…