Special radicals and matrix near-rings

Stefan Veldsman

doi:10.1017/S1446788700035084

Special radicals and matrix near-rings

Stefan Veldsman^*

^*Corresponding author for this work

Mathematics & Statistics

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

7 Citations (Scopus)

Abstract

Special radical classes of near-rings are defined and investigated. It is shown that our approach, which differs from previous ones, does cater for all the well-known radicals of near-rings. Moreover, most of the desirable properties from their ring theory counterpart are retained. The relationship between the special radical of a near-ring and the corresponding matrix near-ring is given.

Original language	English
Pages (from-to)	356-367
Number of pages	12
Journal	Journal of the Australian Mathematical Society
Volume	52
Issue number	3
DOIs	https://doi.org/10.1017/S1446788700035084
Publication status	Published - 1992

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S1446788700035084

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abstract = "Special radical classes of near-rings are defined and investigated. It is shown that our approach, which differs from previous ones, does cater for all the well-known radicals of near-rings. Moreover, most of the desirable properties from their ring theory counterpart are retained. The relationship between the special radical of a near-ring and the corresponding matrix near-ring is given.",

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