Geodesic
Solution and full classification of generalized binary functional equations of the type~$(3;3;0)$
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2018), pp. 41-53

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Generalized binary functional quasigroup equations in two individual variables with three appearances are under consideration. There exist five classes of the equations (two equations belong to the same class if there exists a relation between sets of their solutions). The quasigroup solution sets of equations from every class are given. In addition, it is proved that every parastrophe of a quasigroup has an orthogonal mate if the quasigroup has an orthogonal mate. 
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     title = {Solution and full classification of generalized binary functional equations of the type~$(3;3;0)$},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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Halyna Krainichuk; Fedir Sokhatsky. Solution and full classification of generalized binary functional equations of the type~$(3;3;0)$. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2018), pp. 41-53. http://geodesic.mathdoc.fr/item/BASM_2018_2_a3/