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 mathem...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 137 |
| Links: | https://doi.org/10.1017/CBO9780511760860 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiii, 248 Seiten) |
| ISBN: | 9780511760860 |
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| spelling | Berstel, Jean 1941- Noncommutative rational series with applications Jean Berstel, Christophe Reutenauer Cambridge Cambridge University Press 2011 1 Online-Ressource (xiii, 248 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 137 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. Reutenauer, Christophe Erscheint auch als Druck-Ausgabe 9780521190220 |
| spellingShingle | Berstel, Jean 1941- Noncommutative rational series with applications |
| title | Noncommutative rational series with applications |
| title_auth | Noncommutative rational series with applications |
| title_exact_search | Noncommutative rational series with applications |
| title_full | Noncommutative rational series with applications Jean Berstel, Christophe Reutenauer |
| title_fullStr | Noncommutative rational series with applications Jean Berstel, Christophe Reutenauer |
| title_full_unstemmed | Noncommutative rational series with applications Jean Berstel, Christophe Reutenauer |
| title_short | Noncommutative rational series with applications |
| title_sort | noncommutative rational series with applications |
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