Strongly equiprime near-rings

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

Research output: Contribution to journalArticle

6 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 languageEnglish
Pages (from-to)483-489
Number of pages7
JournalQuaestiones Mathematicae
Volume14
Issue number4
DOIs
Publication statusPublished - 1991

Fingerprint

Near-ring
Prime Ring
Generalise

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

Booth, G. L., Groenewald, N. J., & Veldsman, S. (1991). Strongly equiprime near-rings. Quaestiones Mathematicae, 14(4), 483-489. https://doi.org/10.1080/16073606.1991.9631665

Strongly equiprime near-rings. / Booth, G. L.; Groenewald, N. J.; Veldsman, S.

In: Quaestiones Mathematicae, Vol. 14, No. 4, 1991, p. 483-489.

Research output: Contribution to journalArticle

Booth, GL, Groenewald, NJ & Veldsman, S 1991, 'Strongly equiprime near-rings', Quaestiones Mathematicae, vol. 14, no. 4, pp. 483-489. https://doi.org/10.1080/16073606.1991.9631665
Booth, G. L. ; Groenewald, N. J. ; Veldsman, S. / Strongly equiprime near-rings. In: Quaestiones Mathematicae. 1991 ; Vol. 14, No. 4. pp. 483-489.
@article{ae3b5d2a5919411a94dc3c6e3e38129f,
title = "Strongly equiprime near-rings",
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.",
author = "Booth, {G. L.} and Groenewald, {N. J.} and S. Veldsman",
year = "1991",
doi = "10.1080/16073606.1991.9631665",
language = "English",
volume = "14",
pages = "483--489",
journal = "Quaestiones Mathematicae",
issn = "1607-3606",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

TY - JOUR

T1 - Strongly equiprime near-rings

AU - Booth, G. L.

AU - Groenewald, N. J.

AU - Veldsman, S.

PY - 1991

Y1 - 1991

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.

UR - http://www.scopus.com/inward/record.url?scp=2942684611&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2942684611&partnerID=8YFLogxK

U2 - 10.1080/16073606.1991.9631665

DO - 10.1080/16073606.1991.9631665

M3 - Article

VL - 14

SP - 483

EP - 489

JO - Quaestiones Mathematicae

JF - Quaestiones Mathematicae

SN - 1607-3606

IS - 4

ER -