[PDF][PDF] X-Gorenstein projective modules

D Bennis, K Ouarghi - Int. Math. Forum, 2010 - researchgate.net
In this paper, we generalize the notion of Gorenstein projective modules. Namely, we
introduce X-Gorenstein projective modules, where X is a class of modules that contains all …

Gorenstein flat and projective (pre) covers

S Estrada, A Iacob, S Odabasi - arXiv preprint arXiv:1508.04173, 2015 - arxiv.org
arXiv:1508.04173v1 [math.AC] 17 Aug 2015 Page 1 arXiv:1508.04173v1 [math.AC] 17 Aug
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …

The Ext-strongly Gorenstein projective modules

J Ren - Turkish Journal of Mathematics, 2015 - journals.tubitak.gov.tr
The Ext-strongly Gorenstein projective modules Page 1 Turkish Journal of Mathematics Volume
39 Number 1 Article 6 1-1-2015 The Ext-strongly Gorenstein projective modules JIE REN Follow …

Strongly Gorenstein flat modules

N Ding, Y Li, L Mao - Journal of the Australian Mathematical Society, 2009 - cambridge.org
In this paper, strongly Gorenstein flat modules are introduced and investigated. An R-
module M is called strongly Gorenstein flat if there is an exact sequence⋯→ P1→ P0→ P0→ …

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 …

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 …

A note on Gorenstein projective modules

D Wu - Communications in Algebra, 2018 - Taylor & Francis
In this note, it is proven that if R is a right noetherian ring with id R o R<∞ and E xt R i≥ 1
(M, F)= 0 for any left R-module F with finite flat dimension, then M is Gorenstein projective; if …

On torsion Gorenstein injective modules

O Yi - Archivum Mathematicum, 1998 - dml.cz
In this paper, we define Gorenstein injective rings, Gorenstein injective modules and their
envelopes. The main topic of this paper is to show that if $ D $ is a Gorenstein integral …

The class of Gorenstein injective modules is covering if and only if it is closed under direct limits

A Iacob - arXiv preprint arXiv:2403.02493, 2024 - arxiv.org
We prove that the class of Gorenstein injective modules is covering if and only if it is closed
under direct limits. This adds to the list of examples that support Enochs conjecture: Every …

On (strongly) Gorenstein von Neumann regular rings

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