Classification 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
  • F. Sokhatsky Department of Mathematical Analysis and Differential Equations, Vasyl’ Stus Donetsk National University, Vinnytsia, Ukraine

Keywords:

Ternary quasigroup, quadratic equation, length of a functional equation, parastrophically primarily equivalent

Abstract

Classification 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. Sokhats’kyi (Sokhatsky), On classification of functional equations on quasigroups, Ukr Math J. 56 (2004), no. 9, 1499–1508.

F. Sokhatsky, Parastrophic symmetry in quasigroup theory, Bulletin of Donetsk National University. Series A: Natural Sciences. (2000), no. 1/2, 70–83.

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

A. Tarasevych, General solutions of generalized ternary quadratic invertible functional equations of length three, (here).

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