Strongly equiprime near-rings

G. L. Booth, N. J. Groenewald, S. Veldsman

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9 Citations (Scopus)


Strongly equiprime near-rings are defined which generalize strongly prime rings to near-rings. These near-rings determine an ideal-hereditary Kurosh-Amitsur radical in the variety of 0-symmetric near-rings. In the same variety, the uniformly strongly equiprime near-rings also determine an ideal-hereditary Kurosh-Amitsur radical which is not comparable with the Jacobson-type radicals nor with the Brown-McCoy-type radicals. 1980 Mathematicrr Subject CJassScation (1985 Revision). 16A76.

Original languageEnglish
Pages (from-to)483-489
Number of pages7
JournalQuaestiones Mathematicae
Issue number4
Publication statusPublished - Oct 1991
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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