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On the Periodic Radical of a Ring

Published online by Cambridge University Press:  20 November 2018

Xiuzhan Guo
Xiuzhan Guo*
Affiliation:
Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China
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Abstract

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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.

Keywords

16N6016N80
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 2 , 01 June 1995 , pp. 215 - 217
Copyright
Copyright © Canadian Mathematical Society 1995

References

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