Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …

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 …

[HTML][HTML] Relative Gorenstein dimensions over triangular matrix rings

D Bennis, R El Maaouy, JR García Rozas, L Oyonarte - Mathematics, 2021 - mdpi.com
Let A and B be rings, U a (B, A)-bimodule, and T= A 0 UB the triangular matrix ring. In this
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …

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 …

[PDF][PDF] Dimensiones (x, y)-Gorenstein. Aplicaciones en la categoría de módulos

E Duarte González - 2021 - repositorio.ual.es
Este documento constituye la memoria de tesis doctoral para optar al grado de Doctor en
Matemáticas. Este trabajo lo dividimos en dos bloques. En el primer bloque, Capítulos 3 y 4 …