Generalized Gorenstein modules

A Iacob - Algebra Colloquium, 2022 - World Scientific
We introduce a generalization of the Gorenstein injective modules: the Gorenstein FP n-
injective modules (denoted by GI n). They are the cycles of the exact complexes of injective …

[HTML][HTML] A study of quasi-Gorenstein rings

E Tavanfar, M Tousi - Journal of Pure and Applied Algebra, 2018 - Elsevier
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W-Gorenstein modules

Y Geng, N Ding - Journal of Algebra, 2011 - Elsevier
Let W be a self-orthogonal class of left R-modules. We introduce and study W-Gorenstein
modules as a common generalization of some known modules such as Gorenstein …

All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
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Gorenstein flat preenvelopes

A Iacob - 2015 - projecteuclid.org
We consider a two sided noetherian ring R such that the character modules of Gorenstein
injective left R-modules are Gorenstein flat right R-modules. We then prove that the class of …

Characterization of generalized Gorenstein rings

S Goto, R Isobe, S Kumashiro, N Taniguchi - arXiv preprint arXiv …, 2017 - arxiv.org
arXiv:1704.08901v1 [math.AC] 28 Apr 2017 Page 1 arXiv:1704.08901v1 [math.AC] 28 Apr 2017
CHARACTERIZATION OF GENERALIZED GORENSTEIN RINGS SHIRO GOTO, RYOTARO …

Gorenstein flat covers of modules over Gorenstein rings

E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

Ω-Gorenstein projective, injective and flat modules

X Yang, Z Liu - Algebra Colloquium, 2011 - World Scientific
Ω-Gorenstein Projective, Injective and Flat Modules Page 1 Algebra Colloquium c 2011 AMSS
CAS & SUZHOU UNIV Algebra Colloquium 18 : 2 (2011) 273–288 Ω-Gorenstein Projective …

On (strongly) Gorenstein von Neumann regular rings

N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
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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 …