Noncommutative Rational Series with Applications

The algebraic theory of automata was created by Sch tzenberger 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, Sch tzenberger'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.

Author: Jean Berstel, Christophe Reutenauer
Publisher: Cambridge University Press
Published: 11/22/2010
Pages: 262
Binding Type: Hardcover
Weight: 1.25lbs
Size: 9.20h x 6.00w x 0.90d
ISBN: 9780521190220

Review Citation(s):
Reference and Research Bk News 02/01/2011 pg. 253

About the Author
Berstel, Jean: - Jean Berstel is Emeritus Professor of Computer Science in the Gaspard-Monge Institute at Université Paris-Est, France.Reutenauer, Christophe: - Christophe Reutenauer is Professor of Mathematics in the Department of Mathematics at Université du Québec à Montréal.