The general radical theory of near-rings - Answers to some open problems

S. Veldsman

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

It is shown that in the variety of all, not necessarily 0-symmetric near-rings, there are no non-trivial classes of near-rings which satisfy condition (F), no non-trivial (Kurosh-Amitsur) radical classes with the ADS-property and consequently no non-trivial ideal-hereditary radical classes. It is also shown that any hereditary semisimple class contains only 0-symmetric near-rings.

Original languageEnglish
Pages (from-to)185-189
Number of pages5
JournalAlgebra Universalis
Volume36
Issue number2
Publication statusPublished - 1996

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Near-ring
Open Problems
Semisimple
Class

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

The general radical theory of near-rings - Answers to some open problems. / Veldsman, S.

In: Algebra Universalis, Vol. 36, No. 2, 1996, p. 185-189.

Research output: Contribution to journalArticle

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