[HTML][HTML] Gorenstein homological dimensions
H Holm - Journal of pure and applied algebra, 2004 - Elsevier
… By the remarks in 3.20, we can pick a short exact sequence 0→K′→F→K→0, where F→K
is a flat cover of K, and K′ is cotorsion with fd R K′=n−1. Since both K′ and K are cotorsion…
is a flat cover of K, and K′ is cotorsion with fd R K′=n−1. Since both K′ and K are cotorsion…
Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules
A Hajizamani - Mathematics Interdisciplinary Research, 2024 - mir.kashanu.ac.ir
… the class of Gorenstein flat-cotorsion modules for group rings… is related to the transfer of
properties of modules along the ring … the class of Gorenstein flat-cotorsion modules, especially in …
properties of modules along the ring … the class of Gorenstein flat-cotorsion modules, especially in …
[图书][B] Introduction to abelian model structures and Gorenstein homological dimensions
MAP Bullones - 2016 - taylorfrancis.com
… 240 10.3 The n-flat cotorsion pair of chain complexes and model structures . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 245 10.4 The homotopy category of differential graded model structures 252 …
. . . . . . . . . . . . . . . 245 10.4 The homotopy category of differential graded model structures 252 …
Tate homology of modules of finite Gorenstein flat dimension
L Liang - Algebras and Representation Theory, 2013 - Springer
… tor of R-modules of finite Gorenstein flat dimension. In particular, we will prove Theorems A
… will study Tate homology ̂ tor of cotorsion R-modules of finite Gorenstein flat dimension over …
… will study Tate homology ̂ tor of cotorsion R-modules of finite Gorenstein flat dimension over …
Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… homological dimension based on the class of projectively coresolved Gorenstein flat modules
(PGF-modules), … are complete and hereditary cotorsion pairs in the exact category PGF(R). …
(PGF-modules), … are complete and hereditary cotorsion pairs in the exact category PGF(R). …
Modules of finite Gorenstein flat dimension and approximations
I Emmanouil - Mathematische Nachrichten, 2024 - Wiley Online Library
… We point out that cotorsion Gorenstein flat modules are particular examples of the Gorenstein
flat cotorsion modules introduced in [11]. In the sequel, we describe two hereditary Hovey …
flat cotorsion modules introduced in [11]. In the sequel, we describe two hereditary Hovey …
Gorenstein flat-cotorsion modules over formal triangular matrix rings
D Wu - Bulletin of the Korean Mathematical Society, 2021 - koreascience.kr
… [3] introduced Gorenstein flat-cotorsion modules. … Gorenstein flat-cotorsion modules.
The main purpose of this paper is to describe the category of Gorenstein flat-cotorsion T-modules. …
The main purpose of this paper is to describe the category of Gorenstein flat-cotorsion T-modules. …
Purity and ascent for Gorenstein flat cotorsion modules
I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
… it sends flat R-modules to flat S-modules, … Gorenstein flat and cotorsion modules. To this
end let Ctac((F∩C)(R)) denote the category of totally acyclic complexes of flat cotorsion modules…
end let Ctac((F∩C)(R)) denote the category of totally acyclic complexes of flat cotorsion modules…
[PDF][PDF] Model structures, n-Gorenstein flat modules and PGF dimensions
R El Maaouy - arXiv e-prints, 2023 - researchgate.net
… R) modulo flat-cotorsion modules and it is compactly generated when R has finite global
Gorenstein projective dimension. The second part of this paper deals with the PGF dimension of …
Gorenstein projective dimension. The second part of this paper deals with the PGF dimension of …
Gorenstein injective and strongly cotorsion modules
Z Huang - Israel Journal of Mathematics, 2013 - Springer
… only if it is strongly cotorsion, and a right R-module is Gorenstein flat if and only if … Gorenstein
ring R, a left R-module is Gorenstein injective (resp. flat) if and only if it is strongly cotorsion (…
ring R, a left R-module is Gorenstein injective (resp. flat) if and only if it is strongly cotorsion (…
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- invariants of groups gorenstein homological dimension
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