Relative weak global Gorenstein dimension, AB-contexts and model structures
In this paper we introduce and study the weak Gorenstein global dimension of a ring $ R $
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …
Gorenstein -flat modules and weak global dimensions
V Becerril - arXiv preprint arXiv:2303.12955, 2023 - arxiv.org
In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathrm {FP} _n $-flat $ R $-modules and Projective Coresolved …
generalized Gorenstein $\mathrm {FP} _n $-flat $ R $-modules and Projective Coresolved …
Gorenstein weak global dimension is symmetric
LW Christensen, S Estrada… - Mathematische …, 2021 - Wiley Online Library
We study the Gorenstein weak global dimension of associative rings and its relation to the
Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein …
Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein …
[PDF][PDF] Model structures, n-Gorenstein flat modules and PGF dimensions
R El Maaouy - arXiv e-prints, 2023 - researchgate.net
Given a non-negative integer n and a ring R with identity, we construct a hereditary abelian
model structure on the category of left R-modules where the class of cofibrant objects …
model structure on the category of left R-modules where the class of cofibrant objects …
Note on (weak) Gorenstein global dimensions
N Mahdou, M Tamekkante - arXiv preprint arXiv:0910.5752, 2009 - arxiv.org
In this note we characterize the (resp., weak) Gorenstein global dimension for an arbitrary
ring. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein …
ring. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein …
[PDF][PDF] A variant theory for the Gorenstein flat dimension
S Bouchiba - Colloq. Math, 2015 - researchgate.net
This paper discusses a variant theory for the Gorenstein flat dimension. Actually, since it is
not yet known whether the category GF (R) of Gorenstein flat modules over a ring R is …
not yet known whether the category GF (R) of Gorenstein flat modules over a ring R is …
[PDF][PDF] Finiteness aspects of Gorenstein homological dimensions
S Bouchiba - Colloq. Math, 2013 - academia.edu
We present an alternative way of measuring the Gorenstein projective (resp., injective)
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …
[PDF][PDF] GORENSTEIN FPn-FLAT MODULES AND WEAK GLOBAL DIMENSIONS
V BECERRIL - arXiv preprint arXiv:2303.12955, 2023 - researchgate.net
In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein Y-flat modules recently studied by S. Estrada, A. Iacob, and MA …
generalized Gorenstein Y-flat modules recently studied by S. Estrada, A. Iacob, and MA …
[引用][C] Finiteness of relative Gorenstein homological dimensions
H Fan, X Tang - Journal of Algebra and Its Applications, 2023 - World Scientific
Let 𝒜 be an abelian category and (𝒳, 𝒴) a pair of classes of objects in 𝒜. Inspired by
Bouchiba's work on generalized Gorenstein projective modules, we give a new way of …
Bouchiba's work on generalized Gorenstein projective modules, we give a new way of …
[PDF][PDF] A short survey on Gorenstein global dimension
D Bennis - Actes des rencontres du CIRM, 2010 - numdam.org
Throughout this paper, if not specified otherwise, R denotes an associative ring with identity
and all modules are unital left R-modules. Every result given for left modules has a …
and all modules are unital left R-modules. Every result given for left modules has a …