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Equational description of pseudovarieties of homomorphisms

Michal Kunc (2003)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

The notion of pseudovarieties of homomorphisms onto finite monoids was recently introduced by Straubing as an algebraic characterization for certain classes of regular languages. In this paper we provide a mechanism of equational description of these pseudovarieties based on an appropriate generalization of the notion of implicit operations. We show that the resulting metric monoids of implicit operations coincide with the standard ones, the only difference being the actual interpretation of pseudoidentities....

Equational description of pseudovarieties of homomorphisms

Michal Kunc (2010)

RAIRO - Theoretical Informatics and Applications

The notion of pseudovarieties of homomorphisms onto finite monoids was recently introduced by Straubing as an algebraic characterization for certain classes of regular languages. In this paper we provide a mechanism of equational description of these pseudovarieties based on an appropriate generalization of the notion of implicit operations. We show that the resulting metric monoids of implicit operations coincide with the standard ones, the only difference being the actual interpretation of pseudoidentities. As...

Équations dans les monoïdes libres

A. Lentin (1970)

Mathématiques et Sciences Humaines

Après une introduction de caractère historique, l'auteur expose succinctement les principaux résultats qu'il a obtenus (thèse, Paris 1969) dans le domaine jusqu'alors pratiquement inexploré des équations dans les monoïdes libres.

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