V. Becerril

collaborators

4 papers

math.RA2025

Gorensteinness from duality pairs induced via Foxby equivalences

VÃctor Becerril, Marco A. PÃ©rez

We define and study induced duality pairs under Foxby equivalences. Given a semidualizing $(S, R)$ -bimodule $_{S} C_{R}$ , if $(A_{C} (R), B_{C} (R^{op}))$ and $(\math…

math.RA2024

Gorenstein $FP_{n}$ -flat modules and weak global dimensions

VÃctor Becerril

In this paper we characterize the relative Gorenstein weak global dimension of the generalized Gorenstein $FP_{n}$ -flat $R$ -modules and Projective Coresolved $FP_{n}$ …

math.RT2024

Homological and homotopical aspects of Gorenstein flat modules and complexes relative to duality pairs

We study homological and homotopical aspects of Gorenstein flat modules over a ring with respect to a duality pair $(L, A)$ . These modules are defined as cycles of exact c…

math.CT2024

Balanced systems for $Hom$

From the notion of (co)generator in relative homological algebra, we present the concept of finite balanced system $[(X, I ¨ ); (I^½, Y)]$ as a tool to induce bal…

Gorensteinness from duality pairs induced via Foxby equivalences

Gorenstein FPn​-flat modules and weak global dimensions

Homological and homotopical aspects of Gorenstein flat modules and complexes relative to duality pairs

Balanced systems for Hom

Gorenstein $FP_{n}$ -flat modules and weak global dimensions

Balanced systems for $Hom$