Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Notes on amalgamated duplication of a ring along an ideal749757647ENP. SahandiDepartment of Mathematics, University of TabrizN. ShirmohammadiDepartment of Mathematics, University of TabrizJournal Article20131116In 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.http://bims.iranjournals.ir/article_647_6f264fec3b7bfd2e1d9d72c509e39042.pdf