A classification of generalized functional equations on ternary quasigroups.

Authors

  • F. Sokhatsky Vasyl’ Stus Donetsk National University
  • H. Krainichuk Vasyl’ Stus Donetsk National University
  • A. Tarasevych Khmelnytsky National University

DOI:

https://doi.org/10.31558/1817-2237.2017.1-2.8

Keywords:

ternary quasigroup, invertible function, functional equation, parastrophically primary equivalence

Abstract

A classification of generalized ternary functional equations on invertible functions defined on an arbitrary set of the functional lengths one and two up to parastrophically primary equivalence has been found.

Author Biographies

F. Sokhatsky, Vasyl’ Stus Donetsk National University

Professor of the Department of Mathematical Analysis and Differential Equations

H. Krainichuk, Vasyl’ Stus Donetsk National University

Senior Lecturer of the Department of Mathematical Analysis and Differential Equations

A. Tarasevych, Khmelnytsky National University

PhD student of the 2nd year of the Faculty of programming and computer and telecommunication systems

References

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Sokhatsky F.M., On classification of functional equations on quasigroups /F.M. Sokhatsky // Ukrainian Math. J., 56(4). - 2004. - p. 1259-1266.

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Issue

No. 1-2 (2017)

Section

Mathematics