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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 P α 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 R α with P(R α) = 0.

Keywords

16N6016N80

Information

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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