TY - JOUR
ID - 647
TI - Notes on amalgamated duplication of a ring along an ideal
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Sahandi, P.
AU - Shirmohammadi, N.
AD - Department of Mathematics, University of Tabriz
Y1 - 2015
PY - 2015
VL - 41
IS - 3
SP - 749
EP - 757
KW - Amalgamated ring
KW - Cohen-Macaulay ring
KW - Serre condition
KW - normal ring
KW - filter ring
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_647.html
L1 - http://bims.iranjournals.ir/article_647_6f264fec3b7bfd2e1d9d72c509e39042.pdf
ER -