We consider functional equations over quasigroup operations. The functional equation w = u is called general if the functional variables contained in its record are pair wise different, balanced if each object variable has ...
The set of all solutions of functional equation F1(F2(z; x);F3(y; z)) =
F4(F5(x; y); x) on quasigroup operations of an arbitrary fixed set are found. The result implies W. Dudek’s theorem [1], which presents the operation ...