Special radicals of near-rings and Γ-near-rings

G. L. Booth, S. Veldsman

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It was previously shown that every special radical class R of rings induces a special radical class ρ{variant}R of Γ-rings. Amongst the special radical classes of near-rings, there are some, called the σ-special radical classes, which induce, special radical classes of Γ-near-rings by the same procedure as used in the ring case. The σ-special radicals of near-rings possess very strong hereditary properties. In particular, this leads to some new results for the equiprime and I3 radicals.

Original languageEnglish
Pages (from-to)111-126
Number of pages16
JournalPeriodica Mathematica Hungarica
Volume29
Issue number2
DOIs
Publication statusPublished - Oct 1994

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Near-ring
Ring
Hereditary Properties
Class

Keywords

  • Γ-near rings
  • Mathematics subject classification numbers 1991: Primary 16Y30, 16Y99
  • Near-rings

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Special radicals of near-rings and Γ-near-rings. / Booth, G. L.; Veldsman, S.

In: Periodica Mathematica Hungarica, Vol. 29, No. 2, 10.1994, p. 111-126.

Research output: Contribution to journalArticle

Booth, G. L. ; Veldsman, S. / Special radicals of near-rings and Γ-near-rings. In: Periodica Mathematica Hungarica. 1994 ; Vol. 29, No. 2. pp. 111-126.
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