The amalgamated duplication of a ring along a multiplicative-canonical ideal
M D'Anna, M Fontana - Arkiv för Matematik, 2007 - Springer
… ) is that the ring R⊳⊲E can be a reduced ring (and it is always … rings satisfying (or not
satisfying) preassigned conditions. Moreover, in many cases, the amalgamated duplication of a ring …
satisfying) preassigned conditions. Moreover, in many cases, the amalgamated duplication of a ring …
[PDF][PDF] The amalgamated duplication of a ring along a semidualizing ideal
… ABSTRACT - 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 …
after recalling briefly the main properties of the amalgamated duplication ring RI which is …
[PDF][PDF] Notes on amalgamated duplication of a ring along an ideal
P Sahandi, N Shirmohammadi - Bulletin of the Iranian …, 2015 - bims.iranjournals.ir
… ring theoretic properties of the amalgamated duplication ring R ▷◁ I of a commutative
Noetherian ring … and when is a normal ring, a generalized Cohen-Macaulay ring and finally a filter …
Noetherian ring … and when is a normal ring, a generalized Cohen-Macaulay ring and finally a filter …
Ring extensions involving amalgamated duplications
TS Long - 2014 - search.proquest.com
… of the amalgamated duplication of a ring along an ideal (which we will usually refer to simply
as a bowtie ring), … If I is an ideal of a ring R, then the basic construction of the amalgamated …
as a bowtie ring), … If I is an ideal of a ring R, then the basic construction of the amalgamated …
[PDF][PDF] Amalgamated duplication of some special rings
… ring and let I be an ideal of R. In this paper we study the amalgamated duplication ring R
▷◁ I … We also defined generically quasi-Gorenstein ring and we investigate when R ▷◁ I is …
▷◁ I … We also defined generically quasi-Gorenstein ring and we investigate when R ▷◁ I is …
Radical factorization for trivial extensions and amalgamated duplication rings
T Dumitrescu, N Mahdou, Y Zahir - Journal of Algebra and Its …, 2021 - World Scientific
… ring extension such that B is a trivial extension of A (denoted by A ∝ E) or an amalgamated
duplication of A … This paper examines the transfer of AM-ring, N-ring, SSP-ring and SP-ring …
duplication of A … This paper examines the transfer of AM-ring, N-ring, SSP-ring and SP-ring …
An amalgamated duplication of a ring along an ideal: the basic properties
M D'ANNA, M Fontana - Journal of Algebra and its Applications, 2007 - World Scientific
… , denoted by R ⋈ E, called the amalgamated duplication of a ring R along an R-module E, that
… After discussing the main properties of the amalgamated duplication R ⋈ E in relation with …
… After discussing the main properties of the amalgamated duplication R ⋈ E in relation with …
[HTML][HTML] Zero-divisor graphs of amalgamated duplication of a ring along an ideal
HR Maimani, S Yassemi - Journal of Pure and Applied Algebra, 2008 - Elsevier
… In this paper, we deal with some applications of a similar general construction, introduced
recently in [8], called the amalgamated duplication of a ring R along an ideal I , and denoted …
recently in [8], called the amalgamated duplication of a ring R along an ideal I , and denoted …
Amalgamated algebras along an ideal
M D'Anna, CA Finocchiaro, M Fontana - Commutative algebra and …, 2009 - degruyter.com
… of a new ring construction called the “amalgamation of A with … for studying the amalgamated
duplication of a ring along an … A and we have that A‰I, the amalgamated duplication of A …
duplication of a ring along an … A and we have that A‰I, the amalgamated duplication of A …
On property () of the amalgamated duplication of a ring along an ideal
Y Arssi, S Bouchiba - Quaestiones Mathematicae, 2021 - Taylor & Francis
… as the module-theoretic version of PSA-rings is introduced and studied. For further works …
amalgamated duplication R ◃▹ I of a ring R along an ideal I is an A-ring as well as an SA-ring. …
amalgamated duplication R ◃▹ I of a ring R along an ideal I is an A-ring as well as an SA-ring. …