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Characterization of finite amenable transformation semigroups

Published online by Cambridge University Press:  09 April 2009

Carroll Wilde
Carroll Wilde
Affiliation:
Naval Postgraduate School Monterey, California, 93940, U.S.A.
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Abstract. In this paper we develop necessary and sufficient conditions for a finite transformation semigroup to have a mean value which is invariant under the induced shift operators. The structure of such transformation semigroups is described and an explicit description of all possible invariant means given.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 1 , February 1973 , pp. 86 - 93
Copyright
Copyright © Australian Mathematical Society 1973

References

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