Title of article :
NOTES ON AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL
Author/Authors :
SAHANDI, P , SHIRMOHAMMADI, N
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
