Relative Gorenstein flat modules and Foxby classes and their model structures

D Bennis, RE Maaouy, JRG Rozas… - arXiv preprint arXiv …, 2022 - arxiv.org
A model structure on a category is a formal way of introducing a homotopy theory on that
category, and if the model structure is abelian and hereditary, its homotopy category is …

A UNIFIED APPROACH TO VARIOUS GORENSTEIN MODULES

R Zhao, Y Li - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
Abstract Let 𝒱, 𝒲, 𝒴, 𝒳 be four classes of modules. We introduce a notion of (𝒱, 𝒲, 𝒴, 𝒳)-
Gorenstein modules which unifies a number of well-known Gorenstein modules. Under …

C-fpn-Injective and C-fpn-Flat modules under Foxby equivalence

M Amini, F Rezaei, A Vahidi - arXiv preprint arXiv:2210.02277, 2022 - arxiv.org
Let S and R be rings, SCR a (faithfully) semidualizing bi-module, and n 1 a natural number.
In this paper, we introduce the concepts of C-fpn-injective and C-fpn-at modules. Then we …