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
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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 …

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 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 …

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 …

[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 …

-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 …

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 …

Some Properties of n-semidualizing Modules

T Se - Acta Mathematica Vietnamica, 2023 - Springer
Let R be a commutative noetherian ring. The n-semidualizing modules of R are
generalizations of its semidualizing modules. We will prove some basic properties of n …

Gorenstein projective resolvents

E Enochs, S Estrada, A Iacob… - Communications in …, 2016 - Taylor & Francis
Let R be a local commutative n-Gorenstein ring. The existence of the Gorenstein projective
preenvelopes for finite R-modules is known (it was proved using duality arguments). In the …