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Characterization of finite amenable transformation semigroups
Published online by Cambridge University Press: 09 April 2009
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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.
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- Copyright © Australian Mathematical Society 1973
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