Classification of quadratic functional equations for five object variables on quasigroups

Koval, R. F.

dc.contributor.author	Koval, R. F.	en
dc.date.accessioned	2021-05-30T09:49:28Z
dc.date.available	2021-05-30T09:49:28Z
dc.date.issued	2014
dc.identifier.citation	Koval R. F. Classification of quadratic functional equations for five object variables on quasigroups / R. F. Koval // Eastern European Scientific Journal (Mathematik- und Technikwissenschaften). - Düsseldorf (Germany) : Auris Verlag, 2014. – № 6. – P. 310-317.	en
dc.identifier.uri	https://dspace.vnmu.edu.ua/123456789/5275
dc.description.abstract	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 exactly one appearance on the left-hand side and on the right-hand side of the equation, quadratic if each object variable has exactly two appearances in the equation. We prove that every quadratic functional equation for five object variables is commutative equivalent to just one of the functional equations (1) – (23).	en
dc.language.iso	en	en
dc.subject	quasigroup operations	en
dc.subject	balanced identities	en
dc.subject	functional equation	en
dc.subject	quadratic functional equation	en
dc.subject	parastrophic equivalence	en
dc.subject	commutative equivalence	en
dc.title	Classification of quadratic functional equations for five object variables on quasigroups	en
dc.type	Article	en