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 …

Strongly Gorenstein flat modules

N Ding, Y Li, L Mao - Journal of the Australian Mathematical Society, 2009 - cambridge.org
modules and Gorenstein flat modules. The strongly … modules and Gorenstein flat modules.
In Section 3, we define and investigate the strongly Gorenstein flat dimension for modules and …

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 …

Weak Gorenstein projective, injective and flat modules

Z Gao - Journal of Algebra and Its Applications, 2013 - World Scientific
… In this section, we introduce and study weak Gorenstein flat modules. We also … Gorenstein
injective and flat modules, and characterize FC rings in terms of weak Gorenstein flat modules. …

[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 FP-injective and Gorenstein flat modules

L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
… To this end, the notion of Gorenstein FP-injective modules is introduced. We study how
Gorenstein FP-injective R-modules, together with Gorenstein flat modules, behave in case R is a …

[PDF][PDF] A brief introduction to Gorenstein projective modules

P Zhang - Notes https://www. math. uni-bielefeld. de/~ sek/sem …, 2008 - Citeseer
… ], the relative homological algebra, especially the Gorenstein homological … flat, and free
modules, are respectively the Gorenstein projective, the Gorenstein injective, the Gorenstein flat