On Dual Radicals and Ring Elements
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Published:1988-04
Issue:2
Volume:44
Page:164-170
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ISSN:0263-6115
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Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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language:en
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Short-container-title:J Aust Math Soc A
Author:
De La Rosa B.,Wiegandt R.
Abstract
AbstractIf a property P of ring elements satisfies conditions (a)-(d), then the largest homomorphically closed class having no non-zero P-element is a dual radical in the sense of Andrunakievič, and every dual radical can be obtained in this way. Also properties defined by polynomials are considered and as an application we get various characterizations of the Behrens radical.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference9 articles.
1. A characterization of the Behrens radical;Propes;Kyungpook Math. J.,1970
2. Radicals of associative rings I;Andrunakievič;Mat. Sb.,1958
3. Nichtassoziative Ringe
Cited by
2 articles.
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