Original Articles

EQUIPRIME Γ-NEAR-RINGS

Published in: Quaestiones Mathematicae
Volume 14 , issue 4 , 1991 , pages: 411–417

DOI: 10.1080/16073606.1991.9631659

Author(s): G.L. Booth Department of Mathematics, Southern Africa , N.J. Groenewald Department of Mathematics, South Africa

Keywords: 16A76 , 16A78 , 16A21

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Abstract

Equiprime and strongly equiprime near-rings were recently defined by the present authors, together with S. Veldsman. In the present paper, the concepts are introduced for Γ-near-rings, and give rise to Kurosh- Amitsur radicals. If M is a Γ-near-ring and L is its left operator near-ring, then R(L)⁺ = R(M), where R(—) in both cases denotes either the equiprime or the strongly equiprime radical.

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