Title of article
NOTES ON AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL
Author/Authors
SAHANDI, P , SHIRMOHAMMADI, N
Pages
9
From page
749
To page
757
Abstract
Abstract. In this paper, we study some ring theoretic properties of the
amalgamated duplication ring R ▷◁ I of a commutative Noetherian ring
R along an ideal I of R which was introduced by D'Anna and Fontana.
Indeed, it is determined that when R ▷◁ I satises Serre's conditions (Rn)
and (Sn), and when is a normal ring, a generalized Cohen-Macaulay ring
and nally a lter ring.
Keywords
Filter ring , normal ring , Serre condition , Cohen-Macaulay ring , Amalgamated ring
Journal title
Astroparticle Physics
Serial Year
2015
Record number
2423733
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