On Gorenstein injective and projective comodules
QX Pan, Q Li - Mathematical Notes, 2013 - Springer
Gorenstein injective, projective and coflat comodules were introduced and studied by
Asensio and Enochs et al. We further investigate these comodules and introduce n …
Asensio and Enochs et al. We further investigate these comodules and introduce n …
[PDF][PDF] X-Gorenstein projective modules
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 …
introduce X-Gorenstein projective modules, where X is a class of modules that contains all …
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 …
applications of our result, we prove that a strongly Gorenstein projective module of …
Gorenstein gr-injective and gr-projective modules
MJ Asensio, JAL Ramos… - Communications in …, 1998 - Taylor & Francis
Inspired in one of Auslander's characterizations of Gorenstein projective modules in [I],
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …
Strongly Gorenstein projective, injective and flat modules
X Yang, Z Liu - Journal of Algebra, 2008 - Elsevier
Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
Gorenstein -Injective Modules and -Noetherian Rings
S Xing, X Luo, K Hu - Algebra Colloquium, 2022 - World Scientific
We study some homological properties of Gorenstein FP∞-injective modules, and we prove
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …
Derived category with respect to Gorenstein AC-projective modules
T Cao, Z Liu, X Yang - Kodai Mathematical Journal, 2018 - jstage.jst.go.jp
DERIVED CATEGORY WITH RESPECT TO GORENSTEIN AC-PROJECTIVE MODULES Tianya
Cao, Zhongkui Liu and Xiaoyan Yang Abstract 1. Introduc Page 1 TY CAO, ZK LIU AND XY …
Cao, Zhongkui Liu and Xiaoyan Yang Abstract 1. Introduc Page 1 TY CAO, ZK LIU AND XY …
Cartan-Eilenberg Gorenstein projective N-complexes
B Lu - Communications in Algebra, 2021 - Taylor & Francis
We study the notion of Cartan-Eilenberg Gorenstein projective N-complexes. We show that
an N-complex G is Cartan-Eilenberg Gorenstein projective if and only if Gn, Z nt (G), B nt (G) …
an N-complex G is Cartan-Eilenberg Gorenstein projective if and only if Gn, Z nt (G), B nt (G) …
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 …
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …
Gorenstein injective filtrations over rings with dualizing complexes
R Sazeedeh - arXiv preprint arXiv:2401.07987, 2024 - arxiv.org
Let $ R $ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a
Gorenstein ring of Krull dimension $ d $, every Gorenstein injective module admits a …
Gorenstein ring of Krull dimension $ d $, every Gorenstein injective module admits a …