Abstract
In this paper, we introduce a strong property (A) as follows: A ring R is called satisfying strong property (A) if every finitely generated ideal of R which is generated by a finite number of zero-divisors elements of R, has a non zero annihilator. We study the transfer of property (A) and strong property (A) in trivial ring extensions and amalgamated duplication of a ring along an ideal. We also exhibit a class of rings which satisfy property (A) and do not satisfy strong property (A).
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Mahdou, N., Hassani, A.R. On Strong (A)-Rings. Mediterr. J. Math. 9, 393–402 (2012). https://doi.org/10.1007/s00009-010-0106-4
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DOI: https://doi.org/10.1007/s00009-010-0106-4