Trace ideals of semidualizing modules and two generalizations of nearly Gorenstein rings
M Bagherpoor, A Taherizadeh - Communications in Algebra, 2023 - Taylor & Francis
In this article, we study the trace ideal of semidualizing modules. Also, we introduce two new
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …
Trace ideals of canonical modules, annihilators of Ext modules, and classes of rings close to being Gorenstein
In this note we study trace ideals of canonical modules. Characterizations of the trace ideals
in terms of annihilators of certain Ext modules are given. We apply our results to study many …
in terms of annihilators of certain Ext modules are given. We apply our results to study many …
Trace of canonical modules, annihilator of Ext, and classes of rings close to being Gorenstein
H Dao, T Kobayashi, R Takahashi - arXiv preprint arXiv:2005.02263, 2020 - arxiv.org
In this note we study trace ideals of canonical modules. Characterizations of the trace ideals
in terms of annihilators of certain Ext modules are given. We apply our results to study many …
in terms of annihilators of certain Ext modules are given. We apply our results to study many …
Gorenstein right derived functors of−⊗− with respect to semidualizing modules
J Hu, D Zhang, N Ding - Communications in Algebra, 2014 - Taylor & Francis
Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
New characterizations of dualizing modules
X Tang - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of module …
semidualizing module to be dualizing in terms of special homological properties of module …
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 …
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 …
On torsion Gorenstein injective modules
O Yi - Archivum Mathematicum, 1998 - dml.cz
In this paper, we define Gorenstein injective rings, Gorenstein injective modules and their
envelopes. The main topic of this paper is to show that if $ D $ is a Gorenstein integral …
envelopes. The main topic of this paper is to show that if $ D $ is a Gorenstein integral …
n-Strongly Gorenstein Projective, Injective and Flat Modules
G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
Trace ideals and the Gorenstein property
H Lindo, N Pande - arXiv preprint arXiv:1802.06491, 2018 - arxiv.org
arXiv:1802.06491v2 [math.AC] 7 Apr 2018 Page 1 arXiv:1802.06491v2 [math.AC] 7 Apr 2018
TRACE IDEALS AND THE GORENSTEIN PROPERTY HAYDEE LINDO AND NINA PANDE …
TRACE IDEALS AND THE GORENSTEIN PROPERTY HAYDEE LINDO AND NINA PANDE …