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On Pseudovarieties of Semiring Homomorphisms

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Mathematical Foundations of Computer Science 2004 (MFCS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3153))

Abstract

We formulate and prove here an Eilenberg- and Reiterman-type theorems for pseudovarieties of idempotent semiring homomorphi-sms. We also initiate the study of quite significant classes of languages – the so-called multiliteral varieties of regular languages. Finally we show how other Eilenberg-type theorems follow from our considerations.

MSC 2000 Classification: 68Q45 Formal languages and automata

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Masaryk University, Janáčkovo nám 2a, 662 95, Brno, Czech Republic

    Libor Polák

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  1. Libor Polák
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Editor information

Editors and Affiliations

  1. Institute for Theoretical Computer Science and Department of Applied Mathematics, Charles University, Prague, Czech Republic

    Jiří Fiala  & Jan Kratochvíl  & 

  2. Department of Theoretical Computer Science and Mathematical Logic, Faculty of Mathematics and Physics, Charles University, Malostranske nam. 25, 118 00, Praha1, Czech Republic

    Václav Koubek

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Polák, L. (2004). On Pseudovarieties of Semiring Homomorphisms. In: Fiala, J., Koubek, V., Kratochvíl, J. (eds) Mathematical Foundations of Computer Science 2004. MFCS 2004. Lecture Notes in Computer Science, vol 3153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28629-5_49

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  • DOI: https://doi.org/10.1007/978-3-540-28629-5_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22823-3

  • Online ISBN: 978-3-540-28629-5

  • eBook Packages: Springer Book Archive

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