An overnilpotent radical theory for near-rings

Stefan Veldsman

doi:10.1016/0021-8693(91)90137-W

An overnilpotent radical theory for near-rings

Stefan Veldsman^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Until very recently, the only known ideal-hereditary radicals in the variety of o-symmetric near-rings were J₂, the Brown-McCoy radical or radicals based on these two. Now, many more have been found; they are all based on the equiprime near-rings. We present several examples as well as a general theory to accommodate them all.

Original language	English
Pages (from-to)	248-265
Number of pages	18
Journal	Journal of Algebra
Volume	144
Issue number	1
DOIs	https://doi.org/10.1016/0021-8693(91)90137-W
Publication status	Published - Dec 1 1991
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0021-8693(91)90137-W

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AB - Until very recently, the only known ideal-hereditary radicals in the variety of o-symmetric near-rings were J2, the Brown-McCoy radical or radicals based on these two. Now, many more have been found; they are all based on the equiprime near-rings. We present several examples as well as a general theory to accommodate them all.

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An overnilpotent radical theory for near-rings

Abstract

ASJC Scopus subject areas

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