Gorenstein injective complexes of modules over Noetherian rings
L Zhongkui, Z Chunxia - Journal of Algebra, 2009 - Elsevier
A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …
Quasi-strongly Gorenstein projective modules
K Hu, F Wang, L Xu, D Zhou - Journal of Algebra and Its …, 2019 - World Scientific
In this paper, we introduce the class of quasi-strongly Gorenstein projective modules which
is a particular subclass of the class of finitely generated Gorenstein projective modules. We …
is a particular subclass of the class of finitely generated Gorenstein projective modules. We …
The existence of Gorenstein flat covers
EE Enochs, OMG Jenda, JA López-Ramos - Mathematica Scandinavica, 2004 - JSTOR
THE EXISTENCE OF GORENSTEIN FLAT COVERS Page 1 MATH. SCAND. 94 (2004), 46-62
THE EXISTENCE OF GORENSTEIN FLAT COVERS EDGAR Ε. ENOCHS, OVERTOUN ΜGJENDA …
THE EXISTENCE OF GORENSTEIN FLAT COVERS EDGAR Ε. ENOCHS, OVERTOUN ΜGJENDA …
Special precovers and preenvelopes of complexes
Z Wang, Z Liu - arXiv preprint arXiv:1301.6595, 2013 - arxiv.org
The notion of an $\mathcal {L} $ complex (for a given class of $ R $-modules $\mathcal {L} $)
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …
[PDF][PDF] Gorenstein modules under Frobenius extensions
F Kong, D Wu - Bulletin of the Korean Mathematical Society, 2020 - academia.edu
Let R⊂ S be a Frobenius extension of rings and M a left S-module and let X be a class of left
R-modules and Y a class of left S-modules. Under some conditions it is proven that M is a Y …
R-modules and Y a class of left S-modules. Under some conditions it is proven that M is a Y …
On strongly Gorenstein FP-injective modules
Z Gao - Communications in Algebra, 2013 - Taylor & Francis
This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …
called strongly Gorenstein FP-injective modules. Some examples are given to show that …
[PDF][PDF] Remarks on reflexive modules, covers, and envelopes
R Belshoff - Beitr. Algebra Geom, 2009 - emis.de
We present results on reflexive modules over Gorenstein rings which generalize results of
Serre and Samuel on reflexive modules over regular local rings. We characterize Gorenstein …
Serre and Samuel on reflexive modules over regular local rings. We characterize Gorenstein …
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 …
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …
A characterization of Gorenstein orders
K Nishida - Tsukuba journal of mathematics, 1988 - JSTOR
In this paper, we give a characterization of Gorenstein orders over a commutative¿-
dimensional Gorenstein local ring (Theorem 1.1) and study some special classes of …
dimensional Gorenstein local ring (Theorem 1.1) and study some special classes of …
[PDF][PDF] Strongly Gorenstein projective, injective and flat modules
Y Xiaoyan, L Zhongkui - Journal of Algebra, 2008 - researchgate.net
Unless stated otherwise, throughout this paper all rings are associative with identity and all
modules are unitary modules. Let R be a ring. We denote by R-Mod (Mod-R) the category of …
modules are unitary modules. Let R be a ring. We denote by R-Mod (Mod-R) the category of …