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 …

Relative weak global Gorenstein dimension, AB-contexts and model structures

D Bennis, REL Maaouy, JRG Rozas… - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper we introduce and study the weak Gorenstein global dimension of a ring $ R $
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …

[PDF][PDF] Model structures, n-Gorenstein flat modules and PGF dimensions

R El Maaouy - arXiv e-prints, 2023 - researchgate.net
Given a non-negative integer n and a ring R with identity, we construct a hereditary abelian
model structure on the category of left R-modules where the class of cofibrant objects …

Chains of model structures arising from modules of finite Gorenstein dimension

N Gao, XS Lu, P Zhang - arXiv preprint arXiv:2403.05232, 2024 - arxiv.org
Let $ n $ be a non-negative integer. For any ring $ R $, the pair\$(\mathcal {PGF}
_n,\\mathcal P_n^\perp\cap\mathcal {PGF}^{\perp}) $ proves to be a complete and hereditary …

Model structures, n-Gorenstein flat modules and PGF dimensions

RE Maaouy - arXiv preprint arXiv:2302.12905, 2023 - arxiv.org
Given a non-negative integer $ n $ and a ring $ R $ with identity, we construct an abelian
model structure on the category of left $ R $-modules where the class of cofibrant objects …

[PDF][PDF] On (Gorenstein) homological dimensions relative to a non-necessary semidualizing module.

R El Maaouy - 2022 - researchgate.net
On (Gorenstein) homological dimensions relative to a non-necessary semidualizing module.
Page 1 On (Gorenstein) homological dimensions relative to a non-necessary semidualizing …

The Gorenstein flat model structure relative to a semidualizing module

R El Maaouy, D Bennis, JRG Rozas… - … and Geometric Methods …, 2023 - researchgate.net
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 …