Model structures and relative Gorenstein flat modules and chain complexes

S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… cotorsion) modules. In this paper, we generalise this result to a certain … of Gorenstein flat
modules, which we call Gorenstein B-flat modules, where B is a class of right R-modules. Using …

[PDF][PDF] Model structures and relative Gorenstein flat modules

S Estrada, A Iacob, MA Pérez - Preprint, 2017 - researchgate.net
… obtain the Gorenstein flat model … of Gorenstein flat left Rmodules relative to a class B ⊆
Mod(Rop). We prove some general properties and equivalent characterizations of these modules

Relative Gorenstein flat modules and Foxby classes and their model structures

D Bennis, RE Maaouy, JRG Rozas… - arXiv preprint arXiv …, 2022 - arxiv.org
… We also study the class of GC-flat modules and the Bass class from the Auslander-Buchweitz
approximation theory point of view. We show that they are part of weak AB-contexts. As the …

Relative singularity categories with respect to Gorenstein flat modules

ZX Di, ZK Liu, XX Zhang - Acta Mathematica Sinica, English Series, 2017 - Springer
… According to [11, Corollary 10.3.4], we know that any Gorenstein flat module with finite
flat dimension is flat. It follows that C(β) ∈F∩C. Hence β is an isomorphism in GF ∩ C. …

Relative Gorenstein n-weak injective and n-weak flat modules

M Amini, H Amzil, D Bennis - Communications in Algebra, 2023 - Taylor & Francis
… In this paper, we introduce and study the notions of Gorenstein n-weak injective and Gorenstein
n-weak flat modules by using the notion of special super finitely presented modules. On …

[引用][C] Gorenstein -flat dimension of complexes and relative singularity categories

W Chen - Journal of Algebra and Its Applications, 2023 - World Scientific
… We define a notion of Gorenstein (L,A)-flat dimension for complexes and consider … We
construct the relative singularity category with respect to Gorenstein (L,A)-flat modules, as the …

Gorenstein flat modules with respect to duality pairs

Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
… -modules, Y be a class of right R-modules. In this article, we introduce and study Gorenstein
( X , Y ) -flat modules … In [Citation7], Estrada, Iacob and Péres studied relative Gorenstein flat

On flat and Gorenstein flat dimensions of local cohomology modules

MR Zargar, H Zakeri - Canadian Mathematical Bulletin, 2016 - cambridge.org
… is the main result of this section, provides a comparison between the Gorenstein flat
dimensions of a relative Cohen–Macaulay module and its non-zero local cohomology module. …

Homological dimension based on a class of Gorenstein flat modules

G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
relative homological dimension based on the class of projectively coresolved Gorenstein flat
modules (PGF-modules)… The resulting PGF-dimension of modules has several properties in …

The role of w-tilting modules in relative Gorenstein (co) homology

D Bennis, E Duarte, JRG Rozas, L Oyonarte - Open Mathematics, 2021 - degruyter.com
… We investigate Gorenstein flat modules relative to a not necessarily semidualizing module C
… We find the conditions for the class of G C -flat modules to be covering (Corollary 5.7) and to …