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 …

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 …

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 …

On relative counterpart of Auslander's conditions

D Bennis, R El Maaouy, JRG Rozas… - Journal of Algebra and …, 2023 - World Scientific
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 …

[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 …

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 …

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 …

-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 …

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 …

[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) …