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The Resource Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer

Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer

Creator
Contributor
Summary
  • "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
Language
eng
Work
Publication
Extent
xiii, 248 p.
Contents
  • 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
Isbn
9780521190220
Instance
Label
Noncommutative rational series with applications
Title
Noncommutative rational series with applications
Statement of responsibility
Jean Berstel, Christophe Reutenauer
Creator
Contributor
Subject
Language
eng
Summary
  • "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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1941-
http://library.link/vocab/creatorName
Berstel, Jean
Index
index present
LC call number
QA267
LC item number
.B47 2011
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Reutenauer, Christophe
Series statement
Encyclopedia of mathematics and its applications
Series volume
137
http://library.link/vocab/subjectName
  • Machine theory
  • Noncommutative algebras
  • Machine theory
  • Noncommutative algebras
Label
Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Contents
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
Dimensions
24 cm.
Extent
xiii, 248 p.
Isbn
9780521190220
Isbn Type
(hardback)
Lccn
2010030398
Other physical details
ill.
System control number
  • (OCoLC)639166314
  • (OCoLC)ocn639166314
Label
Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer
Publication
Bibliography note
Includes bibliographical references and index
Contents
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
Dimensions
24 cm.
Extent
xiii, 248 p.
Isbn
9780521190220
Isbn Type
(hardback)
Lccn
2010030398
Other physical details
ill.
System control number
  • (OCoLC)639166314
  • (OCoLC)ocn639166314

Subject

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