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Strongly prime near-rings

Published online by Cambridge University Press:  20 January 2009

N. J. Groenewald
N. J. Groenewald
Affiliation:
Department of MathematicsUniversity of Port ElizabethPO Box 16006000 Port Elizabeth, South Africa
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Strongly prime rings were introduced by Handelman and Lawrence [5] and in [2] Groenewald and Heyman investigated the upper radical determined by the class of all strongly prime rings. In this paper we extend the concept of strongly prime to near-rings. We show that the class M of distributively generated near-rings is a special class in the sense of Kaarli [6]. We also show that if N is any distributively generated near-ring, then UM(N), UM denotes the upper radical determined by the class M, coincides with the intersection of all the strongly prime ideals of N.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 3 , October 1988 , pp. 337 - 343
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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