Strict Mittag-Leffler Conditions and Gorenstein Modules
Y Yang, X Yan, X Zhu - Algebras and Representation Theory, 2016 - Springer
In this paper, firstly, we characterize some rings by strict Mittag-Leffler conditions. Then, we
investigate when Gorenstein projective modules are Gorenstein flat by employing tilting …
investigate when Gorenstein projective modules are Gorenstein flat by employing tilting …
Foxby equivalences associated to strongly Gorenstein modules
W Zhang, Z Liu, X Yang - Kodai Mathematical Journal, 2018 - jstage.jst.go.jp
In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-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 …
Strongly Gorenstein flat modules and dimensions
N Mahdou, M Tamekkante - Chinese Annals of Mathematics, Series B, 2011 - Springer
There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …
Rings over which all modules are strongly Gorenstein projective
One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …
modules are strongly Gorenstein projective. We show that these kinds of rings are very …
Buchweitz's equivalences for Gorenstein flat modules with respect to semidualizing modules
J Hu, Y Geng, J Wu, H Li - Journal of Algebra and Its Applications, 2021 - World Scientific
Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …
Gorenstein modules and Gorenstein model structures
A Xu - Glasgow Mathematical Journal, 2017 - cambridge.org
Given a complete hereditary cotorsion pair-Gorenstein projective modules and study its
stability properties. As applications, we first get two model structures related to Gorenstein …
stability properties. As applications, we first get two model structures related to Gorenstein …
Complexes of Gorenstein flat modules and Gorenstein cotorsion modules
Z Wang, Z Liu - Communications in Algebra®, 2010 - Taylor & Francis
A complex (C, δ) is called strongly Gorenstein flat if C is exact and Ker δ n is Gorenstein flat
in R-Mod for all n∈ ℤ. Let 𝒮𝒢 stand for the class of strongly Gorenstein flat complexes. We …
in R-Mod for all n∈ ℤ. Let 𝒮𝒢 stand for the class of strongly Gorenstein flat complexes. We …
Rings over which all (finitely generated) strongly Gorenstein projective modules are projective
N Mahdou, K Ouarghi - arXiv preprint arXiv:0902.2237, 2009 - arxiv.org
arXiv:0902.2237v3 [math.AC] 10 Mar 2010 Page 1 arXiv:0902.2237v3 [math.AC] 10 Mar 2010
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …
Equivalences of stable categories of Gorenstein local rings
TJ Puthenpurakal - arXiv preprint arXiv:2403.05097, 2024 - arxiv.org
arXiv:2403.05097v1 [math.AC] 8 Mar 2024 Page 1 arXiv:2403.05097v1 [math.AC] 8 Mar 2024
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …