[PDF][PDF] Generalized Gorenstein dimension over group rings

A Bahlekeh, T Kakaie - Journal of Algebraic Systems, 2017 - jas.shahroodut.ac.ir
Let $(R,\m) $ be a commutative noetherian local ring and let $\Gamma $ be a finite group. It
is proved that if $ R $ admits a dualizing module, then the group ring $ R\ga $ has a …

Gorenstein injective and strongly cotorsion modules

Z Huang - Israel Journal of Mathematics, 2013 - Springer
By investigating the properties of some special covers and envelopes of modules, we prove
that if R is a Gorenstein ring with the injective envelope of RR flat, then a left R-module is …

All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
Full article: All Modules Have Gorenstein Flat Precovers Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …

On (strongly) Gorenstein (semi) hereditary rings

N Mahdou, M Tamekkante - Arabian Journal for Science and Engineering, 2011 - Springer
On (Strongly) Gorenstein (Semi)Hereditary Rings Page 1 Arab J Sci Eng (2011) 36:431–440
DOI 10.1007/s13369-011-0047-7 RESEARCH ARTICLE - MATHEMATICS Najib Mahdou …

[PDF][PDF] On Gorenstein weak injective modules

T ZHAO, Y XU - arXiv preprint arXiv:1405.0648, 2014 - Citeseer
In this paper, we introduce the notion of Gorenstein weak injective modules in terms of weak
injective modules and characterize rings over which all modules are Gorenstein weak …

[PDF][PDF] Strongly n-projectively coresolved Gorenstein flat modules

DD STERGIOPOULOU - arXiv preprint arXiv:2210.16816, 2022 - users.uoa.gr
This paper introduces the notion of strongly n-projectively coresolved Gorenstein flat
modules (or strongly n-PGF modules, for short), where n is a nonnegative integer. Using this …

Generalized coherent domains of self-weak injective dimension at most one

S Xing, H Kim - Communications in Algebra, 2019 - Taylor & Francis
Let R be a commutative ring with identity. An R-module E is said to be weak injective if Ext R
1 (N, E)= 0 for any super finitely presented R-module N. In this article, for a domain R with …

Strongly Gorenstein weak flat modules

S Yanhui, GUO Ting - Journal of East China Normal University …, 2023 - xblk.ecnu.edu.cn
In this paper, we introduce the notion of strongly Gorenstein weak flat modules, and we
subsequently provide homological characterizations of strongly Gorenstein weak flat …

Gorenstein injective dimension, Bass formula and Gorenstein rings

L Khatami, S Yassemi - arXiv preprint math/0312513, 2003 - arxiv.org
Let $(R,\frak m, k) $ be a noetherian local ring. It is well-known that $ R $ is regular if and
only if the injective dimension of $ k $ is finite. In this paper it is shown that $ R $ is …

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 …