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 …

Relative Gorenstein n-weak injective and n-weak flat modules

M Amini, H Amzil, D Bennis - Communications in Algebra, 2023 - Taylor & Francis
Let R be a ring and n be a non-negative integer. In this paper, we introduce and study the
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …

Gorenstein dimensions of unbounded complexes and change of base (with an appendix by Driss Bennis)

LW Christensen, F Köksal, L Liang - Science China Mathematics, 2017 - Springer
For a commutative ring R and a faithfully flat R-algebra S we prove, under mild extra
assumptions, that an R-module M is Gorenstein flat if and only if the left S-module S⊗ RM is …

Gorenstein objects in the category of -complexes

B Lu - Journal of Algebra and Its Applications, 2021 - World Scientific
For an integer N≥ 2 and three subcategories 𝒲, 𝒳, 𝒴 of modules, we study the notion of (𝒲,
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …

On (strongly) Gorenstein von Neumann regular rings

N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

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 …

Gorenstein gr-flat modules

MJ Asensio, JA López Ramos… - Communications in …, 1998 - Taylor & Francis
The theory of Gorenstein injective and projective modules start, ed in [4] as an st, udy of
homology for Gorenstein rings, ie, rings which are noetherian on both sides and with finite …

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 …

n-Strongly Gorenstein Graded Modules

Z Gao, J Peng - Czechoslovak Mathematical Journal, 2019 - Springer
Let R be a graded ring and n⩾ 1 an integer. We introduce and study n-strongly Gorenstein
gr-projective, gr-injective and gr-flat modules. Some examples are given to show that n …

X-Gorenstein projective and Y-Gorenstein injective modules

F Meng, Q Pan - Hacettepe Journal of Mathematics and Statistics, 2011 - dergipark.org.tr
Let X be a class of right R-modules that contains all projective right R-modules. The notion of
X-Gorenstein projective modules was introduced by D. Bennis and K. Ouarghi (X-Gorenstein …