All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
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Rings satisfying every finitely generated module has a Gorenstein projective (pre) envelope

L Mao - Communications in Algebra, 2018 - Taylor & Francis
Let R be a ring. We introduce the concept of Gorenstein f-projective R-modules and obtain
some closure properties of Gorenstein f-projective R-modules. As a consequence, we …

A generalization of strongly Gorenstein projective modules

D Bennis, N Mahdou - Journal of Algebra and its Applications, 2009 - World Scientific
This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …

Gorenstein projective precovers

S Estrada, A Iacob, K Yeomans - Mediterranean Journal of Mathematics, 2017 - Springer
We prove that the class of Gorenstein projective modules is special precovering over any left
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …

When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)

N Mahdou, M Tamekkante - arXiv preprint arXiv:0909.2384, 2009 - arxiv.org
In\cite {Ouarghi}, the authors discuss the rings over which all modules are strongly
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …

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 …

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 …

Weak Gorenstein projective, injective and flat modules

Z Gao - Journal of Algebra and Its Applications, 2013 - World Scientific
In this paper, weak Gorenstein projective, injective and flat modules are introduced and
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …

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 …

Gorenstein and Ω-Gorenstein injective covers and flat preenvelopes

EE Enochs, OMG Jenda - Communications in Algebra®, 2005 - Taylor & Francis
Full article: GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT
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