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On the existence of free subsemigroups in reversible automata semigroups

Abstract : We prove that the semigroup generated by a reversible Mealy automaton contains a free subsemigroup of rank two if and only if it contains an element of infinite order.
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Preprints, Working Papers, ...
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-02409426
Contributor : Dominik Francoeur Connect in order to contact the contributor
Submitted on : Friday, December 13, 2019 - 2:21:25 PM
Last modification on : Tuesday, December 17, 2019 - 2:27:20 AM

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  • HAL Id : ensl-02409426, version 1
  • ARXIV : 1811.04679

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Dominik Francoeur, Ivan Mitrofanov. On the existence of free subsemigroups in reversible automata semigroups. 2019. ⟨ensl-02409426⟩

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