When are dual Cayley automaton semigroups finite?
classification
🧮 math.GR
keywords
finiteautomatoncayleydualsemigroupmathbfmathcalnon-trivial
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In this note we prove that, for a finite semigroup $S$, the dual Cayley automaton semigroup $\mathbf{C^{\ast}}(S)$ is finite if and only if $S$ is $\mathcal{H}$-trivial and has no non-trivial right zero subsemigroups.
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