Parastrophic symmetry in quasigroup theory.

Authors

  • F.M. Sokhatsky Donetsk National University

Keywords:

quasigoroup, loop, symmetry, neutral element, parastrophe, variety, truss, bunch, identity, functional equation

Abstract

In this article some problems in quasigroup theory are emphasized. Special attention is devoted to parastrophic symmetry. Definitions of parastrophy are defined on: relations and operations, quasigroup varieties, propositions, quasigroup identities, concepts in quasigroup theory and etc. As an example, parastrophically closed set of concepts of one-sided neutral elements as well as the corresponding varieties are given.

Author Biography

F.M. Sokhatsky, Donetsk National University

Doctor in Physics and Mathematics, Professor of the Department of Mathematical Analysis and Differential Equations

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Issue

No. 1/2 (2016)

Section

Mathematics