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arXiv · 0807.4829

When are dual Cayley automaton semigroups finite?

Victor Maltcev
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Abstract

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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Victor Maltcev. 2008-07-30. When are dual Cayley automaton semigroups finite?. https://arxiv.org/abs/0807.4829

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