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Near-rings of continuous functions on disconnected groups

Part of: Topological and differentiable algebraic systems

Published online by Cambridge University Press:  09 April 2009

Robert D. Hofer
Robert D. Hofer
Affiliation:
Department of Mathematics Sate University CollegePlattsburgh, New York 12901, USA
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Abstract

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N(G) denotes the near-ring of all continuous selfmaps of the topological group G (under composition and the pointwise induced operation) and N0(G) is the subnear-ring of N(G) consisting of all functions having the identity element of G fixed. It is known that if G is discrete then (a) N0(G) is simple and (b) N(G) is simple if and only if G is not of order 2. We begin a study of the ideal structure of these near-rings when G is a disconnected group.

Keywords

Near-rings of continuous selfmapstopological groups.

MSC classification

Secondary: 22A99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 4 , December 1979 , pp. 433 - 451
Copyright
Copyright © Australian Mathematical Society 1979

References

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