BOOK

Finite Commutative Rings and Their Applications

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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 The section on Quasi-Galois rings presents new and unpublished results as well.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.

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Availability

Detail Information

Series Title

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Call Number

512,42 B612

Publisher

: Springer US., 2002

Collation

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Language

English

ISBN/ISSN

1-4020-7039-X

Classification

512,42

Content Type

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Media Type

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Carrier Type

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Edition

1st

Subject(s)

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Specific Detail Info

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Statement of Responsibility

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