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  3. Noncommutative Rational Series with Applications
  • Cited by 60
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2013
      October 2010
      ISBN:
      9780511760860
      9780521190220
      DOI:
      https://doi.org/10.1017/CBO9780511760860
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.54kg, 262 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Computer Science, Algebra, Programming Languages and Applied Logic
      Series:
      Encyclopedia of Mathematics and its Applications (137)
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    Subjects:
    Mathematics (general), Mathematics, Computer Science, Algebra, Programming Languages and Applied Logic
    Series:
    Encyclopedia of Mathematics and its Applications (137)
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    Book description

    The algebraic theory of automata was created by Schützenberger and Chomsky over 50 years ago and there has since been a great deal of development. Classical work on the theory to noncommutative power series has been augmented more recently to areas such as representation theory, combinatorial mathematics and theoretical computer science. This book presents to an audience of graduate students and researchers a modern account of the subject and its applications. The algebraic approach allows the theory to be developed in a general form of wide applicability. For example, number-theoretic results can now be more fully explored, in addition to applications in automata theory, codes and non-commutative algebra. Much material, for example, Schützenberger's theorem on polynomially bounded rational series, appears here for the first time in book form. This is an excellent resource and reference for all those working in algebra, theoretical computer science and their areas of overlap.

    Reviews

    "This well-written volume is much more than a mere reprint. This comprehensive reference on rational series has been rewritten and new material has been added."
    Michel Rigo, Mathematical Reviews

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