EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 60(74), pp. 27--30 (1996)

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Une condition finitude pour les smi-groupes

Cornelia Gutan

Laboratoire de Mathématiques Pures, Université Blaise Pascal, 63177, Aubière Cedex, France

Abstract: Let $S$ be a finitely generated semigroup. Using the minimal factorisation of every element of $S$ we give necessary and sufficient conditions for the finiteness of $S$. The main result improves, makes more precisely and simplifies a previous result of Migliorini and Szép [4].

Keywords: monoïde libre, ordre lexicolonguique

Classification (MSC2000): 20M99

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