27 citations · 27 across the 7 of their papers we have counts for
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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…
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…
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…