J Austral Math Soc Ser A 52 pp356--367, 1992.

Special Radicals and Matrix Near-Rings

Stefan Veldsman

(Received 27 July 1990; revised 18 February 1991)

Abstract

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.

1991 AMS Subject Classification: 16Y30, 16N80

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Authors

Stefan Veldsman
University of Port Elizabeth, PO Box 1600, Port Elizabeth (6000), South Africa.

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