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arXiv · 2008.12194

On amenable semigroups of rational functions

Fedor Pakovich
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Abstract

We characterize left and right amenable semigroups of polynomials of one complex variable with respect to the composition operation. We also prove a number of results about amenable semigroups of arbitrary rational functions. In particular, we show that under quite general conditions a semigroup of rational functions is left amenable if and only if it is a subsemigroup of the centralizer of some rational function.

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Fedor Pakovich. 2020-08-27. On amenable semigroups of rational functions. https://arxiv.org/abs/2008.12194

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