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

G. L. Booth; S. Veldsman

doi:10.1007/BF01876869

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

G. L. Booth^*, S. Veldsman

^*Corresponding author for this work

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

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 language	English
Pages (from-to)	111-126
Number of pages	16
Journal	Periodica Mathematica Hungarica
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/BF01876869
Publication status	Published - Oct 1994
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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10.1007/BF01876869

Cite this

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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.",

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author = "Booth, {G. L.} and S. Veldsman",

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T1 - Special radicals of near-rings and Γ-near-rings

AU - Booth, G. L.

AU - Veldsman, S.

PY - 1994/10

Y1 - 1994/10

N2 - 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.

AB - 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.

KW - Mathematics subject classification numbers 1991: Primary 16Y30, 16Y99

KW - Near-rings

KW - Γ-near rings

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JO - Periodica Mathematica Hungarica

JF - Periodica Mathematica Hungarica

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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