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Special radicals and matrix near-rings

Part of: Radicals and radical properties of rings Generalizations

Published online by Cambridge University Press:  09 April 2009

Stefan Veldsman
Stefan Veldsman
Affiliation:
University of Port ElizabethPO Box 1600 Port Elizabeth (6000), South Africa
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Abstract

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Special radical classes of near-rings are defined and investigated. It is shown that our approach, which differs from previous ones, does cater for all the well-known radicals of near-rings. Moreover, most of the desirable properties from their ring theory counterpart are retained. The relationship between the special radical of a near-ring and the corresponding matrix near-ring is given.

MSC classification

Secondary: 16Y30: Near-rings 16N80: General radicals and rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 52 , Issue 3 , June 1992 , pp. 356 - 367
Copyright
Copyright © Australian Mathematical Society 1992

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