General solutions of generalized ternary quadratic quasigroup functional equations of length three.

Authors

  • A. Tarasevych Department of Higher Mathematics and Computer Science, Khmelnytskyi National University, Khmelnytskyi, Ukraine

Keywords:

Ternary quasigroup, quadratic equation, length of a functional equation, parastrophically primary equivalence

Abstract

General solutions of generalized ternary quadratic quasigroup functional equations of length three.

References

J. Acz.el, Lectures on Functional Equations and their applications, Acad. press, New York, 1966.

F. Sokhatsky, Parastrophic symmetry in quasigroup theory, Bulletin of Donetsk National University. Series A: Natural Sciences. (2016), no. 1/2, 70–83.

F. Sokhatsky and A. Tarasevych, Classification of generalized ternary quadratic quasigroup functional equations of length three, (here).

F. Sokhatsky, On general solutions of generalized ternary quadratic invertible functional equations of length three, (here).

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