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Near-ring-semigroups of continuous selfmaps
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1988
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