%0 Journal Article
%T Notes on amalgamated duplication of a ring along an ideal
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Sahandi, P.
%A Shirmohammadi, N.
%D 2015
%\ 06/01/2015
%V 41
%N 3
%P 749-757
%! Notes on amalgamated duplication of a ring along an ideal
%K Amalgamated ring
%K Cohen-Macaulay ring
%K Serre condition
%K normal ring
%K filter ring
%R
%X In this paper, we study some ring theoretic properties of the
amalgamated duplication ring $R\bowtie I$ 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 $R\bowtie I$
satisfies Serre's conditions $(R_n)$ and $(S_n)$, and when is a
normal ring, a generalized Cohen-Macaulay ring and finally a filter
ring.
%U http://bims.iranjournals.ir/article_647_6f264fec3b7bfd2e1d9d72c509e39042.pdf