TY - BOOK ID - 5520510 TI - Noncommutative rational series with applications AU - Berstel, Jean AU - Reutenauer, Christophe PY - 2011 VL - 137 SN - 9780521190220 0521190223 9780511760860 9781107266704 110726670X 0511760868 9781107269774 1107269776 1139885774 9781139885775 1107265983 9781107265981 1107264219 9781107264212 1107263131 9781107263130 1107267765 9781107267763 PB - Cambridge Cambridge University Press DB - UniCat KW - Machine theory KW - Noncommutative algebras KW - Automates mathématiques, Théorie des KW - Algèbres non commutatives KW - Automates mathématiques, Théorie des KW - Algèbres non commutatives KW - Machine theory. KW - Noncommutative algebras. KW - Automates. KW - Algèbres non commutatives. KW - Algebras, Noncommutative KW - Non-commutative algebras KW - Algebra KW - Abstract automata KW - Abstract machines KW - Automata KW - Mathematical machine theory KW - Algorithms KW - Logic, Symbolic and mathematical KW - Recursive functions KW - Robotics KW - Algèbres non commutatives. UR - https://www.unicat.be/uniCat?func=search&query=sysid:5520510 AB - "The algebraic theory of automata was created by Schutzenberger 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, Schutzenberger'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"-- ER -