Classification of generalized ternary quadratic quasigroup functional equations of the length three
Open Access
- 30 June 2019
- journal article
- research article
- Published by Vasyl Stefanyk Precarpathian National University in Carpathian Mathematical Publications
- Vol. 11 (1), 179-192-192
- https://doi.org/10.15330/cmp.11.1.179-192
Abstract
A functional equation is called: generalized if all functional variables are pairwise different; ternary if all its functional variables are ternary; quadratic if each individual variable has exactly two appearances; quasigroup if its solutions are studied only on invertible functions. A length of a functional equation is the number of all its functional variables. A complete classification up to parastrophically primary equivalence of generalized quadratic quasigroup functional equations of the length three is given. Solution sets of a full family of representatives of the equivalence are found.Keywords
This publication has 1 reference indexed in Scilit:
- Parastrophically equivalent quasigroup equationsPublications de l'Institut Mathematique, 2010