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On the decomposition of the s-radical of a near-ring

Published online by Cambridge University Press:  20 January 2009

J. F. T. Hartney
J. F. T. Hartney
Affiliation:
Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa, 2050
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Abstract

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This paper concerns a Jacobson-type radical for the near-ring N. This radical, denoted by Js(N) has an external representation on a type-0N-group of a very special kind. Such N-groups are said to be of type-s. The main objective of this paper is to decompose Js(N) as a sum Js(N) = J1/2(N) + A + B for N satisfying the descending chain condition for N-subgroups. In this decomposition J1/2(N) is nilpotent and A is the unique minimal ideal modulo which Js(N) is nilpotent.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 1 , February 1990 , pp. 11 - 22
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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