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On the Periodic Radical of a Ring
Published online by Cambridge University Press: 20 November 2018
Abstract
Let R be a ring and P(R) the sum of all periodic ideals of R. We prove that P(R) is the intersection of all prime ideals Pα such that contains no nontrivial periodic ideals. We also prove that P(R) = 0 if and only if Rs is a subdirect product of prime rings Rα with P(Rα) = 0.
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- Copyright © Canadian Mathematical Society 1995
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