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[ 洋図書 ] Noncommutative rational series with applications / ( Encyclopedia of mathematics and its applications ; [137] )

Jean Berstel, Christophe Reutenauer. -- Cambridge University Press, -- 2011. --

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ISBN 0521190223 (hardback)
ISBN13桁 9780521190220 (hardback)
テキストの言語 英語                  
分類：NDC10版 410.8
個人著者標目 Berstel, Jean,
生没年等 1941-
本タイトル Noncommutative rational series with applications /
著者名 Jean Berstel, Christophe Reutenauer.
出版地・頒布地 Cambridge ;
出版者・頒布者名 Cambridge University Press,
出版年・頒布年 2011.
数量 xiii, 248 p. ;
大きさ 25 cm.
書誌注記 Includes bibliographical references and indexes.
内容注記 Machine generated contents note: 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.
要約、抄録、注釈等 "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"--Provided by publisher.,"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"--Provided by publisher.
著者標目 Reutenauer, Christophe.
シリーズ名・巻次 Encyclopedia of mathematics and its applications ; [137]
一般件名 Machine theory.
Noncommutative algebras.
資料情報1 『Noncommutative rational series with applications /』（Encyclopedia of mathematics and its applications ; [137]）　Jean Berstel, Christophe Reutenauer.　Cambridge University Press,　2011. （所蔵館：中央　 請求記号：F/410.8/E56/E1-137　 資料コード：5019101428）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1348209607

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