Gorenstein Projective (Pre) Covers

MJ Fox - 2016 - digitalcommons.georgiasouthern …
The existence of the Gorenstein projective precovers is one of the main open problems in
Gorenstein Homological algebra. We give sufficient conditions in order for the class of …

Direct limits of Gorenstein injective modules

A Iacob - arXiv preprint arXiv:2308.08699, 2023 - arxiv.org
One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …

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 …

Gorenstein Projective Precovers

A Iacob - Extended Abstracts Spring 2015: Interactions between …, 2016 - Springer
The existence of Gorenstein projective precovers is one of the main open problems in
Gorenstein homological algebra. We prove that the class of Gorenstein projective modules …

Gorenstein Injective Modules

E McLean - 2011 - digitalcommons.georgiasouthern …
One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct sums? Our main result gives a …

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 …

A note on dg-Gorenstein injective covers

A Iacob - Acta Mathematica Universitatis Comenianae, 2022 - iam.fmph.uniba.sk
We consider a ring R such that the class of Gorenstein injective modules is closed under
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …

Gorenstein Flat and Projective (Pre) Covers

A Iacob - 2015 - digitalcommons.georgiasouthern …
"Gorenstein Flat and Projective (Pre)Covers" by Alina Iacob Home Search Browse
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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 …

[PDF][PDF] A brief introduction to Gorenstein projective modules

P Zhang - Notes https://www. math. uni-bielefeld. de/~ sek/sem …, 2008 - Citeseer
Since Eilenberg and Moore [EM], the relative homological algebra, especially the
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …