Finite Commutative Rings and Their Applications Softcover Repri Edition Contributor(s): Bini, Gilberto (Author), Flamini, Flaminio (Author) |
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ISBN: 1461353238 ISBN-13: 9781461353232 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: October 2012 |
Additional Information |
BISAC Categories: - Science - Mathematics | Algebra - General - Medical |
Dewey: 512.4 |
Series: The Springer International Engineering and Computer Science |
Physical Information: 0.41" H x 6.14" W x 9.21" (0.61 lbs) 176 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Foreword by Dieter Jungnickel 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 The section on Quasi-Galois rings presents new and unpublished results as well.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. |