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Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 680)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Foreword by Dieter Jungnickel
Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory.
The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory.
Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background.
Authors and Affiliations
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University of Michigan, USA
Gilberto Bini
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Universita degli Studi Roma Tre, Italy
Flaminio Flamini
Bibliographic Information
Book Title: Finite Commutative Rings and Their Applications
Authors: Gilberto Bini, Flaminio Flamini
Series Title: The Springer International Series in Engineering and Computer Science
DOI: https://doi.org/10.1007/978-1-4615-0957-8
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2002
Hardcover ISBN: 978-1-4020-7039-6Published: 30 April 2002
Softcover ISBN: 978-1-4613-5323-2Published: 26 October 2012
eBook ISBN: 978-1-4615-0957-8Published: 06 December 2012
Series ISSN: 0893-3405
Edition Number: 1
Number of Pages: X, 176
Topics: Electrical Engineering, Coding and Information Theory, Discrete Mathematics in Computer Science