Homological dimension based on a class of Gorenstein flat modules

G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… When restricted to the class Flat(R) of flat modules, the PGF-dimension coincides with the …
M has both finite Gorenstein projective dimension and finite Gorenstein flat dimension. (In fact, …

[PDF][PDF] Model structures, n-Gorenstein flat modules and PGF dimensions

R El Maaouy - arXiv e-prints, 2023 - researchgate.net
… definition of the Gorenstein projective dimension. We show, … Gorenstein homological
dimensions, similar to the classical ones, and the global Gorenstein projective dimension coincides

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

W Chen - Journal of Algebra and Its Applications, 2023 - World Scientific
Gorenstein (L, A)-flat dimension for complexes and consider equivalent characterizations of
the finiteness of Gorenstein (L, A)-flat dimension … of all Gorenstein AC-flat modules coincides

-Gorenstein flat homological dimensions

V Becerril - arXiv preprint arXiv:2203.09012, 2022 - arxiv.org
… Ding-projective Rmodules DP(R) coincide with the Gorenstein projective R-modules GP(R). …
Ding-projective R-modules coincides with the class of Gorenstein projective R-modules [17, …

A refinement of Gorenstein flat dimension via the flat–cotorsion theory

LW Christensen, S Estrada, L Liang, P Thompson… - Journal of Algebra, 2021 - Elsevier
… it coincides with the Gorenstein flat dimension for complexes where the latter is finite, and
for complexes over right coherent rings—the setting where the Gorenstein flat dimension is …

Modules of finite Gorenstein flat dimension and approximations

I Emmanouil - Mathematische Nachrichten, 2024 - Wiley Online Library
We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These approximations …

Finiteness criteria for Gorenstein flat dimension and stability

I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
… modules is contained in the class of Gorenstein flat modules. This paper proves … of finite
Gorenstein flat dimension to be projectively coresolved Gorenstein flat, or of finite flat dimension. …

Projectively coresolved Gorenstein flat dimension of groups

DD Stergiopoulou - Journal of Algebra, 2024 - Elsevier
Gorenstein global dimension of RG in terms of this dimension and the Gorenstein global
dimension … Then, the class of Gorenstein projective RG-modules coincides with the class of PGF …

Projectively coresolved Gorenstein flat and ding projective modules

A Iacob - Communications in Algebra, 2020 - Taylor & Francis
… coresolved Gorenstein B flat modules, P G F B ), to coincide … module has finite Gorenstein B
flat dimension. In particular, over … module has finite Gorenstein flat dimension. Consequently …

Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules

A Hajizamani - Mathematics Interdisciplinary Research, 2024 - mir.kashanu.ac.ir
… They investigated the relationship of this dimension with other homological … Also, the
Gorenstein flat dimension of modules over group rings and especially the Gorenstein flat dimension