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 …
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 …
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 …
[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 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 …
( X , Y ) -flat modules … In [Citation7], Estrada, Iacob and Péres studied relative Gorenstein flat …
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 …
modules (PGF-modules)… The resulting PGF-dimension of modules has several properties in …
[HTML][HTML] The role of w-tilting modules in relative Gorenstein (co) homology
… 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 …
… We find the conditions for the class of G C -flat modules to be covering (Corollary 5.7) and to …
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 …
were defined in [Citation7] as a relative version of the Gorenstein flat modules. They are the …
were defined in [Citation7] as a relative version of the Gorenstein flat modules. They are the …
-Gorenstein flat homological dimensions
V Becerril - arXiv preprint arXiv:2203.09012, 2022 - arxiv.org
… all (L, A)-Gorenstein projective R-modules are (L, A)-Gorenstein flat, for now we will prove
… Given a class A ⊆ Mod(Rop), we define the left weak Gorenstein global dimension relative …
… Given a class A ⊆ Mod(Rop), we define the left weak Gorenstein global dimension relative …
Modules of Finite Gorenstein flat dimension and approximations
I Emmanouil - Mathematische Nachrichten, 2024 - Wiley Online Library
… These involve the concept of a Hovey triple in exact additive categories, the basics on
Gorenstein flat and PGF-modules, and the notion of relative injectivity of linear maps with respect …
Gorenstein flat and PGF-modules, and the notion of relative injectivity of linear maps with respect …
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