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 …
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 …
Duality pairs induced by one-sided Gorenstein subcategories
W Song, T Zhao, Z Huang - Bulletin of the Malaysian Mathematical …, 2020 - Springer
For a ring R and an additive subcategory CC of the category Mod\nolimits R Mod R of left R-
modules, under some conditions, we prove that the right Gorenstein subcategory of …
modules, under some conditions, we prove that the right Gorenstein subcategory of …
On relative counterpart of Auslander's conditions
It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …
[PDF][PDF] On relative Gorenstein homological dimensions with respect to a dualizing module
M Salimi - Mat. Vesnik, 2017 - emis.icm.edu.pl
Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …
relative Gorenstein modules with respect to a dualizing module. It is shown that every …
Duality pairs induced by Gorenstein projective modules with respect to semidualizing modules
J Hu, Y Geng, N Ding - Algebras and Representation Theory, 2015 - Springer
Let C be a semidualizing module over a commutative Noetherian ring R. We investigate
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …
Gorenstein injective and projective complexes with respect to a semidualizing module
C Yang, L Liang - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …
-CANONICAL MODULES
M Bagheri, AJ Taherizadeh - International Electronic Journal of …, 2021 - dergipark.org.tr
Let $ C $ be a semidualizing module over a commutative Noetherian local ring $ R $. In this
paper we introduce a new class of modules, namely $ C $-canonical modules which are a …
paper we introduce a new class of modules, namely $ C $-canonical modules which are a …
Totally acyclic complexes and locally Gorenstein rings
LW Christensen, K Kato - Journal of Algebra and its Applications, 2018 - World Scientific
A commutative noetherian ring with a dualizing complex is Gorenstein if and only if every
acyclic complex of injective modules is totally acyclic. We extend this characterization, which …
acyclic complex of injective modules is totally acyclic. We extend this characterization, which …
[HTML][HTML] Homotopy category of projective complexes and complexes of Gorenstein projective modules
J Asadollahi, R Hafezi, S Salarian - Journal of Algebra, 2014 - Elsevier
Let R be a ring with identity and C (R) denote the category of complexes of R-modules. In
this paper we study the homotopy categories arising from projective (resp. injective) …
this paper we study the homotopy categories arising from projective (resp. injective) …