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 | |
| Publication status | Published - 1992 |
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Veldsman, S. (1992). Special radicals and matrix near-rings. Journal of the Australian Mathematical Society, 52(3), 356-367. https://doi.org/10.1017/S1446788700035084