Canonical decompositions of solutions of functional equation of generalized mediality.

Authors

  • F. Sokhatsky Vasyl‘ Stus DonNU in Vinnytsia, Ukraine
  • D. Kirka Vasyl‘ Stus DonNU in Vinnytsia, Ukraine

Keywords:

Functional equations, quasigroup functional equation, generalized madiality, mediality, invertible functions

Abstract

Canonical decompositions of solutions of functional equation of generalized mediality.

References

Acz.el J., V. D. Belousov , Hossz.u M. Generalized associativity and bisymmetry on quasigroups // Acta Math. Acad. Sci. Hungar. — 1960. — Vol. 11, Iss. 1-2. — P. 127–136.

F. M.Sokhatsky , H. V. Krainichuk Solution of distributive-like quasigroup functional equations // Comment. Math. Univ. Carolin. — 2012. — Vol. 53, 3. — P. 447–459.

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