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Base Non Finie de Varietes

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STACS 85 (STACS 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 182))

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Résumé

Nous nous intéréssons au produit semidirect de deux variétés de monoïdes. Nous donnons les équations générales du produit particulier J1*(ℤn) et nous prouvons que, bien que les deux variétés J1 et (ℤ2) possèdent des bases finies, leur produit ne possède aucune base finie.

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Références

  1. S. Eilenberg, Automata, Languages and Machines, vol B, Academic Press, New York (1976)

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  2. C. Irastorza, Equations du produit de deux variétés et congruences de graphe, thèse de 3e cycle, Université Paris 6 (1984).

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  3. E.I. Kleiman, On basis of identities of Brandt semigroups, Semigroup Forum 13 (1977) pages 209–218.

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  4. P. Perkins,Bases for équational theories of semigroups, journal of Algebra" (1968) pages 298–314.

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  5. J.E. Pin, On semidirect products of two finite semilattrices, Semigroup Forum 28 (1984) pages 73–81

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  6. J.E. Pin, Variétés de langages formels, Masson (1984).

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  7. A.V. Tishenko, The fineteness of a bases of identities for five-element monoïds Semigroup Forum 20 (1980) pages 171–186.

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Authors and Affiliations

  1. L.I.T.P., 2 place Jussieu Tour 55-56, 75221, Paris Cedex 05, France

    Christine Irastorza

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  1. Christine Irastorza
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K. Mehlhorn

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© 1984 Springer-Verlag Berlin Heidelberg

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Irastorza, C. (1984). Base Non Finie de Varietes. In: Mehlhorn, K. (eds) STACS 85. STACS 1985. Lecture Notes in Computer Science, vol 182. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0024007

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  • DOI: https://doi.org/10.1007/BFb0024007

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13912-6

  • Online ISBN: 978-3-540-39136-4

  • eBook Packages: Springer Book Archive

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