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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 2018, том 25, выпуск 2, страницы 269–285 (Mi adm658)

RESEARCH ARTICLE

On functional equations and distributive second order formulae with specialized quantifiers

Yuri Movsisyan

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

Аннотация: 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.

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

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

Поступила в редакцию: 14.05.2017
Исправленный вариант: 02.06.2018

Язык публикации: английский



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