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
Sahandi, P., & Shirmohammadi, N. "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.
CHICAGO
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,
VANCOUVER
Sahandi P., Shirmohammadi N. Notes on amalgamated duplication of a ring along an ideal. BIMS. 2015;41(3):749-757.
