[PDF][PDF] The amalgamated duplication of a ring along a semidualizing ideal
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 …
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 …
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 …
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
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 …
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 …
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 …
semidualizing module to be dualizing in terms of special homological properties of module …
A construction of quasi-Gorenstein rings
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 …
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 …
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 …
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) …
denoted by A ⋈ IA⋈ I, is the special subring of A * AA× A defined by A ⋈ I:= π AI π={(a, a+ i) …