Geodesic
Semigroups defined by automaton extension mapping
Discussiones Mathematicae. General Algebra and Applications, Tome 25 (2005) no. 1, pp. 103-118

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We study semigroups generated by the restrictions of automaton extension (see, e.g., [3]) and give a characterization of automaton extensions that generate finite semigroups.
Keywords: automaton mapping, Mealy automaton, semigroup 
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Osys, Mirosław. Semigroups defined by automaton extension mapping. Discussiones Mathematicae. General Algebra and Applications, Tome 25 (2005) no. 1, pp. 103-118. http://geodesic.mathdoc.fr/item/DMGAA_2005_25_1_a4/