Rings over which all (finitely generated) strongly Gorenstein projective modules are projective

N Mahdou, K Ouarghi - arXiv preprint arXiv:0902.2237, 2009 - arxiv.org
arXiv:0902.2237v3 [math.AC] 10 Mar 2010 Page 1 arXiv:0902.2237v3 [math.AC] 10 Mar 2010
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …

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 …

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 …

Relative Gorenstein dimensions over triangular matrix rings

D Bennis, R El Maaouy, JR García Rozas, L Oyonarte - Mathematics, 2021 - mdpi.com
Let A and B be rings, U a (B, A)-bimodule, and T= A 0 UB the triangular matrix ring. In this
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …

Rings over which all modules are strongly Gorenstein projective

D Bennis, N Mahdou, K Ouarghi - The Rocky Mountain Journal of …, 2010 - JSTOR
One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …

(n, m)-Strongly Gorenstein Projective Modules

D Bennis - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
This paper is a continuation of the papers J. Pure Appl. Algebra, 210 (2007), 437–445 and J.
Algebra Appl., 8 (2009), 219–227. Namely, we introduce and study a doubly filtered set of …

Gorenstein projective and flat complexes over noetherian rings

E Enochs, S Estrada, A Iacob - Mathematische Nachrichten, 2012 - Wiley Online Library
We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …

Construction of Gorenstein-projective modules over Morita rings

D Asefa - Journal of Algebra and Its Applications, 2023 - World Scientific
In this paper, we obtain necessary and sufficient conditions for all complete projective
resolutions over a Morita ring Δ (0, 0)(A, B, M, N)= AANBBMAB. As special cases, we get a …

On Gorenstein FP-Injective and Gorenstein Flat Complexes

D Xin, J Chen, X Zhang - Communications in Algebra, 2013 - Taylor & Francis
In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …

Strongly Gorenstein flat modules and dimensions

N Mahdou, M Tamekkante - Chinese Annals of Mathematics, Series B, 2011 - Springer
There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …