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 amenable if and only if it is a subsemigroup of the centralizer of some rational function.
| Original language | English |
|---|---|
| Pages (from-to) | 7945-7979 |
| Number of pages | 35 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 375 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1 Nov 2022 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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