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On Schützenberger Products of Semirings

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Developments in Language Theory (DLT 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6224))

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Abstract

The Schützenberger product of (ordered) monoids is an essential tool when studying the polynomial operators on Boolean and positive varieties of languages and concatenation hierarchies. Here we consider rather disjunctive varieties of languages and therefore the recognition of languages is by finite idempotent semirings. We define a product of finite idempotent semirings and we show similar results to those concerning Schützenberger products of monoids and ordered monoids.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic

    Ondřej Klíma & Libor Polák

Authors
  1. Ondřej Klíma
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  2. Libor Polák
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Editor information

Editors and Affiliations

  1. Dept. of Computer Science, University of Western Ontario, N6A 5B7, London, ON, Canada

    Yuan Gao , Hanlin Lu , Shinnosuke Seki  & Sheng Yu , ,  & 

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Klíma, O., Polák, L. (2010). On Schützenberger Products of Semirings. In: Gao, Y., Lu, H., Seki, S., Yu, S. (eds) Developments in Language Theory. DLT 2010. Lecture Notes in Computer Science, vol 6224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14455-4_26

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  • DOI: https://doi.org/10.1007/978-3-642-14455-4_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14454-7

  • Online ISBN: 978-3-642-14455-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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