Classification of generalized ternary quadratic quasigroup functional equations of the length three
Keywords:
ternary quasigroup, quadratic equation, length of a functional equation, parastrophically primary equivalence
Published online:
2019-06-30
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.
How to Cite
(1)
Sokhatsky, F.; Tarasevych, A. Classification of Generalized Ternary Quadratic Quasigroup Functional Equations of the Length Three. Carpathian Math. Publ. 2019, 11, 179-192.