Elements of Quasigroup Theory and Applications: 1st Edition (Hardback) book cover

Elements of Quasigroup Theory and Applications

1st Edition

By Victor Shcherbacov

Chapman and Hall/CRC

576 pages | 34 B/W Illus.

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pub: 2017-03-17
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Description

This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.

Table of Contents

Elements of quasigroup theory. Some quasigroup classes. Binary inverse quasigroups. A-nuclei of quasigroups. On two Belousov problems. Quasigroups which have an endomorphism. Structure of n-ary medial quasigroups. Automorphisms of some quasigroups. Orthogonality of quasigroups. Quasigroups and codes. Quasigroups in cryptology. Appendix. References. Index.

About the Author

Victor Shcherbacov, Ph.D., is a Principle Researcher with the Institute of Mathematics and Computer Science, Academy of Sciences, Moldova.

About the Series

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
COM083000
COMPUTERS / Security / Cryptography
MAT000000
MATHEMATICS / General
MAT002000
MATHEMATICS / Algebra / General
MAT036000
MATHEMATICS / Combinatorics