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An Answer to a Question of Kegel on Sums of Rings

Published online by Cambridge University Press:  20 November 2018

A. V. Kelarev
A. V. Kelarev*
Affiliation:
Department of Mathematics University of Tasmania G.P.O. Box 252 C Hobart, Tasmania 7001 Australia, e-mail: kelarev@hilbert.maths.utas.edu.au
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Abstract

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We construct a ring $R$ which is a sum of two subrings $A$ and $B$ such that the Levitzki radical of $R$ does not contain any of the hyperannihilators of $A$ and $B$. This answers an open question asked by Kegel in 1964.

Keywords

16N4016N60Nilpotent ringslocally nilpotent ringsnil rings
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 1 , 01 March 1998 , pp. 79 - 80
Copyright
Copyright © Canadian Mathematical Society 1998

References

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