[HTML][HTML] Gorenstein flat modules and dimensions over formal triangular matrix rings

L Mao - Journal of Pure and Applied Algebra, 2020 - Elsevier
… is a Gorenstein ring, U B and U A are finitely generated and have finite projective dimensions”.
The main objective of the present paper is to further study Gorenstein flat modulesstrong

STRONGLY -GORENSTEIN INJECTIVE AND FLAT MODULES

Z Gao, Y Zhong - Rocky Mountain Journal of Mathematics, 2024 - projecteuclid.org
… is a direct summand of a strongly Gorenstein flat module [4, Theorem 3.5]. Later, Yang and
… 27] introduced strongly Gorenstein flat modules and Gorenstein FP-injective modules. Bravo, …

Model structures and relative Gorenstein flat modules and chain complexes

S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… of Gorenstein flat modules, which we call Gorenstein B -flatGorenstein AC-flat module is
a direct summand of a stronglyStable categories of cotorsion relative Gorenstein flat objects…

Relative Gorenstein flat modules and Foxby classes and their model structures

D Bennis, RE Maaouy, JRG Rozas… - arXiv preprint arXiv …, 2022 - arxiv.org
… of relative cotorsion modules: strongly CC-cotorsion and nCC-cotorsion modules for a given
… category of the Gorenstein flat model structure is triangle equivalent to the stable category …

Projectively coresolved Gorenstein flat and ding projective modules

A Iacob - Communications in Algebra, 2020 - Taylor & Francis
… with any injective module. We use G F to denote the class of Gorenstein flat modules. It is …
strongly Gorenstein flat modules. They are the cycles of the exact complexes of projective …

Purity and ascent for Gorenstein flat cotorsion modules

I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
… The above two restrictions will be necessary in lifting properties from the stable categories
to the class of Gorenstein flat modules. While they may initially appear slightly restrictive, they …

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

R El Maaouy - arXiv e-prints, 2023 - researchgate.net
… is triangulated equivalent to the stable category GF(R) ∩ C(R) modulo flat-cotorsion … The
following characterization of n-Gorenstein flat modules is a key result to show many results in …

Gorenstein flat modules relative to injectively resolving subcategories

Z Gao, W Wu - Journal of Algebra and Its Applications, 2022 - World Scientific
… and study E-Gorenstein flat modules as a common generalization of some known modules
such as … We discuss stability of the Gorenstein E-flat categories, and some known results are …

Homological dimension based on a class of Gorenstein flat modules

G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… is equivalent as a triangulated category to the stable category of PGF-modules. We shall
also describe the stable category of PGF-modules, up to triangulated equivalence, as the …

Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules

A Hajizamani - Mathematics Interdisciplinary Research, 2024 - mir.kashanu.ac.ir
… of Gorenstein flat-cotorsion modules over the … of Gorenstein flat-cotorsion modules. Then,
as a result, Serre’s Theorem is proved for the invariant GhdRΓ, which refines the Gorenstein