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 …

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 …

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 …

[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 injective covers with respect to a semidualizing module

E Tavasoli, M Salimi - Czechoslovak Mathematical Journal, 2017 - Springer
Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a
result about the covering properties of the class of relative Gorenstein injective modules with …

Gorenstein transpose with respect to a semidualizing bimodule

Z Liu, X Yan - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …

A note on dg-Gorenstein injective covers

A Iacob - Acta Mathematica Universitatis Comenianae, 2022 - iam.fmph.uniba.sk
We consider a ring R such that the class of Gorenstein injective modules is closed under
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …

Finitistic dimension and orthogonal classes of Gorenstein projective modules with respect to a semidualizing module

E Tavasoli - Communications in Algebra, 2019 - Taylor & Francis
Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is proved
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …

[PDF][PDF] The amalgamated duplication of a ring along a semidualizing ideal

M Salimi, E Tavasoli, S Yassemi - Rendiconti del Seminario …, 2013 - numdam.org
Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper, after
recalling briefly the main properties of the amalgamated duplication ring RI which is …