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 $\mathcal {Y} $-flat modules recently studied by S. Estrada, A. Iacob …

[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 …

Strongly Gorenstein flat and Gorenstein FP-injective modules

C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …

Strongly Gorenstein flat modules and dimensions

N Mahdou, M Tamekkante - Chinese Annals of Mathematics, Series B, 2011 - Springer
There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …

On Gorenstein flat dimension

S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …

Coherent rings with finite self-FP-injective dimension

N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …

[PDF][PDF] Strongly Gorenstein flat dimensions

CX Zhang, LM Wang - J. Math. Research & Exposition, 2011 - researchgate.net
This article is concerned with the strongly Gorenstein flat dimensions of modules and rings.
We show this dimension has nice properties when the ring is coherent, and extend the well …

Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …

On -Gorenstein projective dimensions and precovers

B Yu - Turkish Journal of Mathematics, 2020 - journals.tubitak.gov.tr
For a class of $ R $-modules $\mathcal {X} $ containing all projective $ R $-modules, the
$\mathcal {X} $-Gorenstein projective $ R $-modules vary from projective to Gorenstein …

Strongly -Gorenstein projective, injective and flat modules

N Mahdou, M Tamekkante - arXiv preprint arXiv:0904.4013, 2009 - arxiv.org
This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …