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On Dual Radicals and Ring Elements
Published online by Cambridge University Press: 09 April 2009
Abstract
If 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.
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- Research Article
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- Copyright © Australian Mathematical Society 1988
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