Gorenstein projective precovers in the category of modules

K Coggins - 2016 - digitalcommons.georgiasouthern …
It was recently proved that if R is a coherent ring such that R is also left n-perfect, then the
class of Gorenstein projective modules, GP, is precovering. We will prove that the class of …

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 …

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 …

Notes on Gorenstein Flat Modules

Y Yang, X Yan - Bulletin of the Iranian Mathematical Society, 2019 - Springer
In this paper, we explore conditions under which Gorenstein flat modules are Gorenstein
projective. We prove that all countably presented strongly Gorenstein flat modules are …

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 …

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 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 …

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 n-flat modules and their covers

C Selvaraj, R Udhayakumar… - … -European Journal of …, 2014 - World Scientific
In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …

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 …