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Annual Symposium on Theoretical Aspects of Computer Science

STACS 1996: STACS 96 pp 125–135Cite as

Star-height of an N-rational series

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1046))

Abstract

We prove a new result on N-rational series in one variable. This result gives, under an appropriate hypothesis, a necessary and sufficient condition for an N-rational series to be of star-height 1. The proof uses a theorem of Handelman on integral companion matrices.

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Authors and Affiliations

  1. I.G.M., Université de Marne-la-Vallée, 2, rue de la butte verte, 93166, Noisy le Grand Cedex

    Frédérique Bassino

Authors
  1. Frédérique Bassino
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Editor information

Claude Puech Rüdiger Reischuk

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© 1996 Springer-Verlag Berlin Heidelberg

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Bassino, F. (1996). Star-height of an N-rational series. In: Puech, C., Reischuk, R. (eds) STACS 96. STACS 1996. Lecture Notes in Computer Science, vol 1046. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60922-9_11

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  • DOI: https://doi.org/10.1007/3-540-60922-9_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60922-3

  • Online ISBN: 978-3-540-49723-3

  • eBook Packages: Springer Book Archive

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