Relative Gorenstein flat modules and dimension
… and of relative Gorenstein injective modules, and we compare the corresponding … a
new concept of relative flat module on which to construct relative Gorenstein flat modules. …
new concept of relative flat module on which to construct relative Gorenstein flat modules. …
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 …
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 …
[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…
Covers and Envelopes by V-Gorenstein Modules
EE Enochs, OMG Jenda… - Communications in …, 2005 - Taylor & Francis
… study V-Gorenstein modules relatives to a dualizing module (… noncommutative case of
Ω-Gorenstein modules (cf. Enochs … of projective dimension for flat modules (a property that holds …
Ω-Gorenstein modules (cf. Enochs … of projective dimension for flat modules (a property that holds …
Modules of finite Gorenstein flat dimension and approximations
I Emmanouil - Mathematische Nachrichten, 2022 - 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 …
Finiteness criteria for Gorenstein flat dimension and stability
I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
… projective module by Enochs and Jenda [Citation9, Citation10], who … of Gorenstein injective
and Gorenstein flat modules. The relative homological dimensions based on these modules …
and Gorenstein flat modules. The relative homological dimensions based on these modules …
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 …
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 …
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