Noncommutative Rational Series with Applications

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Noncommutative Rational Series with Applications (Encyclopedia of Mathematics and its Applications)
By Jean Berstel, Christophe Reutenauer




Publisher:  Cambridge University Press
Number Of Pages:  262
Publication Date:  2010-12-31
ISBN-10 / ASIN:  0521190223
ISBN-13 / EAN:  9780521190220


Product 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.


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