[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 …

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 …

Presentations of rings with non-trivial semidualizing modules

DA Jorgensen, GJ Leuschke… - Collectanea mathematica, 2012 - Springer
Let R be a commutative noetherian local ring. A finitely generated R-module C is
semidualizing if it is self-orthogonal and\rm Hom _R (C, C) ≅ R. We prove that a Cohen …

[PDF][PDF] Amalgamated duplication of some special rings

E Tavasoli, M Salimi, A Tehranian - Bull. Korean Math. Soc, 2012 - academia.edu
Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper we study the
amalgamated duplication ring R▷◁ I which is introduced by D'Anna and Fontana. It is …

SELF INJECTIVE AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL.

M Chhiti, N Mahdou… - Journal of Algebra & Its …, 2013 - search.ebscohost.com
SELF INJECTIVE AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL 1.
Introduction Throughout this paper, all rings are commutative Page 1 Journal of Algebra …

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 …

A construction of quasi-Gorenstein rings

A Bagheri, M Salimi, E Tavasoli… - Journal of Algebra and Its …, 2012 - World Scientific
Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper, we study the
amalgamated duplication ring R⋈ I which is introduced by D'Anna and Fontana. It is shown …

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 …

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 …

Duplication of a module along an ideal

EM Bouba, N Mahdou, M Tamekkante - Acta Mathematica Hungarica, 2018 - Springer
Let A be a commutative ring and I an ideal of A. The amalgamated duplication of A along I,
denoted by A ⋈ IA⋈ I, is the special subring of A * AA× A defined by A ⋈ I:= π AI π={(a, a+ i) …