On reducibility of uncancellable generalized functional equations.
Ключові слова:
Quasigroup, parastrophe, identity, functional equation, parastrophically primary equivalence, reduciblity, cancellabilityАнотація
We consider a generalized quadratic binary quasigroup functional equations.Посилання
Aczel J. Lectures on functional equations and their applications. New York, London: Academic Press, 1966. 509 p.
Belousov V.D. Fundamentals of the Theory of Quasigroups and Loops(In Russian). M.: Nauka , 1967. 222 p.
Krapez A. Stricly quadratic functional equations on quasigroups. Publ. Inst. Math. (Belgrad), 1981. tome 29 (43). pp. 125–138.
Krapez A., Simic S.K., Tosic D.V. Parastrophically uncancellable quasigroup equations. Aequationes Mathematicae, 2010. pp. 261–280.
Sokhatsky Fedir M. Classification of the functional equations on quasigroups (In Ukrainian). Ukrainian Mathematical Journal, 2004. 56, no. 9. pp. 1259–1266.
Sokhatsky Fedir M. Associates and decompositions of multiary operations. – Doctoral thesis (In Ukrainian), Vinnytsia–Kyiv, 2006.
Sokhatsky Fedir M. Parastrophic symmetry in quasigroup theory. Bulletin of Donetsk National University. Series A (Natural Sciences), 2016. no. 1–2. pp. 72–85.
