Relative Gorenstein global dimension

D Bennis, JR Garcia Rozas… - International Journal of …, 2016 - World Scientific
We study the relative Gorenstein projective global dimension of a ring with respect to a
weakly Wakamatsu tilting module C. We prove that this relative global dimension is finite if …

On rings with finite Gorenstein weak global dimension

J Wang, X Zhang - Journal of Algebra and Its Applications, 2023 - World Scientific
On rings with finite Gorenstein weak global dimension Page 1 Journal of Algebra and Its
Applications Vol. 22, No. 5 (2023) 2350111 (15 pages) c© World Scientific Publishing Company …

[PDF][PDF] Gorenstein global dimension of semi-primary rings

M Tamekkante - arXiv preprint arXiv:0909.4818, 2009 - arxiv.org
arXiv:0909.4818v1 [math.AC] 25 Sep 2009 Page 1 arXiv:0909.4818v1 [math.AC] 25 Sep 2009
GORENSTEIN GLOBAL DIMENSION OF SEMI-PRIMARY RINGS MOHAMMED TAMEKKANTE …

On the finiteness of Gorenstein homological dimensions

I Emmanouil - Journal of Algebra, 2012 - Elsevier
In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

Gorenstein injective, projective, and flat dimensions over

EE Enochs, OMG Jenda - … , Algebra and Its Applications, March 22 …, 2000 - books.google.com
In this paper, we study Gorenstein injective, projective, and flat dimensions over a Cohen-
Macaulay local ring R admitting a dualizing module. In particular, we characterize these …

Complete intersection flat dimension and the intersection theorem

P Sahandi, T Sharif, S Yassemi - Algebra Colloquium, 2012 - World Scientific
Any finitely generated module M over a local ring R is endowed with a complete intersection
dimension CI-dim RM and a Gorenstein dimension G-dim RM. The Gorenstein dimension …

[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 …

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 …

Five theorems on Gorenstein global dimensions

LW Christensen, S Estrada, P Thompson - arXiv preprint arXiv:2203.12375, 2022 - arxiv.org
We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …

When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)

N Mahdou, M Tamekkante - arXiv preprint arXiv:0909.2384, 2009 - arxiv.org
In\cite {Ouarghi}, the authors discuss the rings over which all modules are strongly
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …