Strongly equiprime near-rings

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

doi:10.1080/16073606.1991.9631665

Strongly equiprime near-rings

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

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	483-489
Number of pages	7
Journal	Quaestiones Mathematicae
Volume	14
Issue number	4
DOIs	https://doi.org/10.1080/16073606.1991.9631665
Publication status	Published - Oct 1991
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1080/16073606.1991.9631665

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AU - Booth, G. L.

AU - Groenewald, N. J.

AU - Veldsman, S.

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N2 - 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.

AB - 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.

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Strongly equiprime near-rings

Abstract

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