Shcherbacov Elements of Quasigroup Theory and Applications

1. Auflage 2017
ISBN: 978-1-4987-2156-1
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 598 Seiten

Reihe: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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.

Autoren/Hrsg.

Shcherbacov, Victor

Fachgebiete

• Mathematik | Informatik EDV | Informatik Technische Informatik Computersicherheit Kryptographie, Datenverschlüsselung
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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.

Über Autor(innen)

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