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Near-ring-semigroups of continuous selfmaps

Published online by Cambridge University Press:  17 April 2009

K.D. Magill Jr
K.D. Magill Jr
Affiliation:
Department of Mathematics, SUNY at Buffalo, Buffalo, New York 14214-3093, United States of America
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Abstract

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We find necessary and sufficient conditions on a topological space X so that S(X), the semigroup of all continuous selfmaps of X, is isomorphic to the multiplicative semigroup of a near-ring. The analogous problem is also considered for the semigroup of all continuous selfmaps which fix some point of X.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 2 , April 1988 , pp. 277 - 291
Copyright
Copyright © Australian Mathematical Society 1988

References

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