Natural Science, Mathematics, 2025
ON FUNCTIONAL EQUATION OF ASSOCIATIVITY WITH RIGHT QUASIGROUP OPERATIONS
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Submitted: 2025-01-29; Published: 2025-01-29
© 2025 by author(s) and The Gufo Inc.
This work is licensed under Creative Commons Attribution–NonCommercial International License
(CC BY-NC 4.0).
Abstract
We consider equations of associativity and transitivity. We obtain necessary conditions for the solution of these equations for right quasigroup operations, generalizing the classical quasigroup case.