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Finite Commutative Rings and Their Applications (Paperback, Softcover reprint of the original 1st ed. 2002)
Loot Price: R2,972
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Finite Commutative Rings and Their Applications (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: The Springer International Series in Engineering and Computer Science, 680
Expected to ship within 10 - 15 working days
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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unpublished results as well.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.
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