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.
Sahandi, P., & Shirmohammadi, N. (2015). Notes on amalgamated duplication of a ring along an ideal. Bulletin of the Iranian Mathematical Society, 41(3), 749-757.
MLA
P. Sahandi; N. Shirmohammadi. "Notes on amalgamated duplication of a ring along an ideal". Bulletin of the Iranian Mathematical Society, 41, 3, 2015, 749-757.
HARVARD
Sahandi, P., Shirmohammadi, N. (2015). 'Notes on amalgamated duplication of a ring along an ideal', Bulletin of the Iranian Mathematical Society, 41(3), pp. 749-757.
VANCOUVER
Sahandi, P., Shirmohammadi, N. Notes on amalgamated duplication of a ring along an ideal. Bulletin of the Iranian Mathematical Society, 2015; 41(3): 749-757.
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