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The simplicity of near-rings of mappings

Published online by Cambridge University Press:  14 November 2011

J. D. P. Meldrum  and
Mike Zeller
J. D. P. Meldrum
Affiliation:
Department of Mathematics, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ
Mike Zeller
Affiliation:
Department of Mathematics, Texas A & M University, College Station, Texas TX 77843, U.S.A
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Synopsis

Let G be a group and S a group of automorphisms of G. The simplicity of the near-ring, MS(G), of zero preserving functions on G which commute with the elements of S, is investigated. The relationship between simplicity, 2-primitivity and containment relations among the stabilizers of elements of G is explored.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 3-4 , 1981 , pp. 185 - 193
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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