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An antiradical for near-rings

Published online by Cambridge University Press:  14 November 2011

J. F. T. Hartney
J. F. T. Hartney
Affiliation:
Mathematics Department, University of the Witwatersrand, Johannesburg, South Africa
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Synopsis

Throughout this article, the near-ring N is assumed to be zero symmetric and to satisfy the right distributive law. We construct an ideal called the socle-ideal of N which is antiradical in the sense that it is a direct sum of minimal left ideals and annihilates one or more of the radicals of N. We then use this socle-ideal to obtain a decomposition theorem for the s-radical JS(N) of N.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 3-4 , 1984 , pp. 185 - 191
Copyright
Copyright © Royal Society of Edinburgh 1984

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