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Noncommutative rational series with applications /
"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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2011.
|
| Colección: | Encyclopedia of mathematics and its applications ;
v. 137. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Berstel, Jean, |d 1941- | |
| 245 | 1 | 0 | |a Noncommutative rational series with applications / |c Jean Berstel, Christophe Reutenauer. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2011. | ||
| 300 | |a 1 online resource (xiii, 248 pages) : |b illustrations | ||
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| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v 137 | |
| 520 | |a "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"-- |c Provided by publisher. | ||
| 520 | |a "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 of 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 noncommutative algebra. Much material, for example, Schützenberger's theorem on polynomially bounded rational series, and results on semi simple algebras, appear here for the first time in book form. In sum, this is an excellent resource and reference for all those working in algebra, theoretical computer science and their areas of overlap"-- |c Provided by publisher. | ||
| 504 | |a Includes bibliographical references (pages 234-241) and index. | ||
| 505 | 0 | |a Preface; Part I. Rational Series: 1. Rational series; 2. Minimization; 3. Series and languages; 4. Rational expressions; Part II. Arithmetic: 5. Automatic sequences and algebraic series; 6. Rational series in one variable; 7. Changing the semiring; 8. Positive series in one variable; Part III. Applications: 9. Matrix semigroups and applications; 10. Noncommutative polynomials; 11. Codes and formal series; 12. Semisimple syntactic algebras; Open problems and conjectures; References; Index of notation; Index. | |
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Machine theory. | |
| 650 | 0 | |a Noncommutative algebras. | |
| 650 | 6 | |a Théorie des automates. | |
| 650 | 6 | |a Algèbres non commutatives. | |
| 650 | 7 | |a COMPUTERS |x Machine Theory. |2 bisacsh | |
| 650 | 7 | |a Machine theory. |2 fast |0 (OCoLC)fst01004846 | |
| 650 | 7 | |a Noncommutative algebras. |2 fast |0 (OCoLC)fst01038607 | |
| 700 | 1 | |a Reutenauer, Christophe. | |
| 776 | 0 | 8 | |i Print version: |a Berstel, Jean, 1941- |t Noncommutative rational series with applications. |d Cambridge ; New York : Cambridge University Press, 2011 |z 9780521190220 |w (DLC) 2010030398 |w (OCoLC)639166314 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v v. 137. | |
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