Gorenstein -Injective Modules and -Noetherian Rings

S Xing, X Luo, K Hu - Algebra Colloquium, 2022 - World Scientific
We study some homological properties of Gorenstein FP∞-injective modules, and we prove
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …

On strongly Gorenstein FP-injective modules

Z Gao - Communications in Algebra, 2013 - Taylor & Francis
This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …

Auslander condition and Gorenstein rings

D Wu - Mathematical Notes, 2022 - Springer
Let be a left Noetherian ring satisfying the Auslander condition. It is proven that a left-module
is Gorenstein injective if and only if is strongly cotorsion and for any injective left-module; a …

n-Strongly Gorenstein Projective, Injective and Flat Modules

G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …

Coherent rings and Gorenstein FP-injective modules

Z Gao, F Wang - Communications in Algebra, 2012 - Taylor & Francis
In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …

STRONGLY -GORENSTEIN INJECTIVE AND FLAT MODULES

Z Gao, Y Zhong - Rocky Mountain Journal of Mathematics, 2024 - projecteuclid.org
Let ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …

G-Gorenstein modules

M Aghajani, H Zakeri - Algebra Colloquium, 2012 - World Scientific
Let R be a commutative Noetherian ring. In this paper, we study those finitely generated R-
modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a …

Gorenstein modules and dualizing modules

Y Li - Communications in Algebra, 2015 - Taylor & Francis
Full article: Gorenstein Modules and Dualizing Modules Skip to Main Content Taylor and Francis
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Gorenstein injective modules and Ext.

EE Enochs, OMG Jenda - Tsukuba journal of mathematics, 2004 - projecteuclid.org
The aim of this paper is to characterize $ n $-Gorenstein rings in terms of Gorenstein
injective modules and the Ext functor. We will show that if $ R $ is a left and right noetherian …

Gorenstein FP-injective and Gorenstein flat modules

L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …