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 …
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
… 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…
Mod(Rop). We prove some general properties and equivalent characterizations of these modules…
Relative Gorenstein flat modules and Foxby classes and their model structures
… 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 …
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 …
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. …
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
… 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 …
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. …
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 …
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 …
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…
modules, are respectively the Gorenstein projective, the Gorenstein injective, the Gorenstein flat…
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- projective injective and flat modules
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