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RESEARCH ARTICLE

On functional equations and distributive second order formulae with specialized quantifiers

Yuri Movsisyan

Yerevan State University, Alex Manoogian 1, Yerevan 0025, Armenia

Abstract: The structure of invertible algebras with distributive second order formulae with specialized quantifiers is given. As a consequence, the applications for solutions of the some functional equations of distributivity on quasigroups are provided.

Keywords: functional equation, hyperidentity, second order formula, quasigroup, moufang loop, invertible algebra, isotopy.

MSC: 20N05, 20N02, 03C85, 03C05

Received: 14.05.2017
Revised: 02.06.2018

Language: English