[PDF][PDF] The Gorenstein projective modules are precovering

P Jorgensen - arXiv preprint math/0312263, 2003 - arxiv.org
arXiv:math/0312263v1 [math.RA] 12 Dec 2003 Page 1 arXiv:math/0312263v1 [math.RA] 12
Dec 2003 THE GORENSTEIN PROJECTIVE MODULES ARE PRECOVERING PETER …

Gorenstein injective precovers, covers, and envelopes

E Enochs, S Estrada, A Iacob - arXiv preprint arXiv:1301.5694, 2013 - arxiv.org
We give a sufficient condition for the class of Gorenstein injective modules be precovering: if
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …

[引用][C] Gorenstein injective and projective modules

EE Enochs, OMG Jenda - Mathematische Zeitschrift, 1995 - Springer
0 Introduction 611 1 Left derived extension functors 612 2 Gorenstein injective modules 616
3 Resolutions and resolvents 620 4 The existence of Gorenstein injective modules 623 5 …

Gorenstein injective and projective complexes

EE Enochs, JR Garcí Rozas - Communications in Algebra, 1998 - Taylor & Francis
In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …

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
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Gorenstein projective modules via total complexes

Q Guo - Communications in Algebra, 2023 - Taylor & Francis
Full article: Gorenstein projective modules via total complexes Skip to Main Content Taylor and
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Gorenstein projective precovers and finitely presented modules

S Estrada, A Iacob - arXiv preprint arXiv:2303.00213, 2023 - arxiv.org
The existence of the Gorenstein projective precovers over arbitrary rings is an open
question. It is known that if the ring has finite Gorenstein global dimension, then every …

A characterization of Gorenstein projective modules

J Wang, L Liang - Communications in Algebra, 2016 - Taylor & Francis
In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

[HTML][HTML] Precovers and orthogonality in the stable module category

I Emmanouil - Journal of Algebra, 2017 - Elsevier
We show that any module admits a presentation as the quotient of a Gorenstein projective
module by a submodule which is itself right orthogonal, with respect to the standard Ext 1 …

Gorenstein injective, projective and flat (pre) covers

A Iacob, E Enochs, S Estrada - Acta Mathematica Universitatis …, 2014 - iam.fmph.uniba.sk
We prove that if the ring R is left noetherian andif the class of Gorenstein injective modules,
GI, is closed under ltrations, then GI is precovering. We extend this result to the category of …