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Near-rings of mappings on finite topological groups

Part of: Topological and differentiable algebraic systems

Published online by Cambridge University Press:  09 April 2009

Gordon Mason
Gordon Mason
Affiliation:
Department of Mathematics & Statistics University of New Brunswick Fredericton, N. B., Canada
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Abstract

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When G is a topological group, the set N(G) of continuous self-maps of G, and the subset N0(G) of those which fix the identity of G, are near-rings. In this paper we examine the (left) ideal structure of these near-rings when G is finite. N0(G) is shown to have exactly two maximal ideals, whose intersection is the radical. In the final section we investigate subnear-rings of N0(G) determined by certain continuous elements of the endomorphism near-ring.

MSC classification

Secondary: 22A99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 1 , February 1985 , pp. 92 - 102
Copyright
Copyright © Australian Mathematical Society 1985

References

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