Original Articles

Different nil radicals for near-rings

Published in: Quaestiones Mathematicae
Volume 30 , issue 2 , 2007 , pages: 207–217

DOI: 10.2989/16073600709486194

Author(s): N.J Groenewald

Keywords: PRIME NEAR-RING , HOEHNKE RADICAL , NIL RADICAL

Abstract

It is well known that there are a number of different nonequivalent definitions of a prime near-ring. In this paper we show that this give rise to a number of different upper nil radicals which all coincide with the usual upper nil radical in the case of associative rings.

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