NDLI: Strongly prime near-rings

Content Provider	Scilit
Author	Groenewald, N. J.
Copyright Year	1988
Description	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.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D44B758142E544D937E91A17B6FC6C6C/S0013091500006738a.pdf/div-class-title-strongly-prime-near-rings-div.pdf
Ending Page	343
Page Count	7
Starting Page	337
ISSN	00130915
e-ISSN	14643839
DOI	10.1017/s0013091500006738
Journal	Proceedings of the Edinburgh Mathematical Society
Issue Number	3
Volume Number	31
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1988-10-01
Access Restriction	Open
Subject Keyword	Proceedings of the Edinburgh Mathematical Society Prime Rings
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Strongly prime near-rings