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The Centers of a Radical Ring

Published online by Cambridge University Press:  20 November 2018

Xiankun Du
Xiankun Du*
Affiliation:
Department of Mathematics Jilin University Changchun, China
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Abstract

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It is shown that the nth center of a radical ring coincides with that of its adjoint group, from which a result of Jennings is sharpened and a conjecture of his is confirmed.

Keywords

16A22.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 174 - 179
Copyright
Copyright © Canadian Mathematical Society 1992 

References

1. Jennings, S. A., Radical rings with nilpotent associated groups, Trans. Roy. Soc. Can. ser. Ill 49(1955), 31–38.Google Scholar
2. Laue, H., On the associated Lie ring and the adjoint group of a radical ring, Canad. Math. Bull. 27(1984), 215–222.Google Scholar