NDLI: On Strong (A)-Rings

Content Provider	Springer Nature Link
Author	Mahdou, Najib Hassani, Aziza Rahmouni
Copyright Year	2010
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).
Ending Page	402
Page Count	10
Starting Page	393
File Format	PDF
ISSN	16605446
e-ISSN	16605454
Journal	Mediterranean Journal of Mathematics
Issue Number	2
Volume Number	9
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2010-11-26
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Ideals; multiplicative ideal theory (A)-ring trivial ring extensions Dedekind, PrÃ¼fer, Krull and Mori rings and their generalizations Integral domains Mathematics Valuation rings strong (A)-ring amalgamated duplication of ring along an ideal
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On Strong (A)-Rings