When are dual Cayley automaton semigroups finite?

Details When are dual Cayley automaton semigroups finite? When are dual Cayley automaton semigroups finite?

2008-07-30

arxiv.org/abs/0807.4829v1

Mathematics

Group Theory

6 pages, 1 figure

Scientific paper

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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