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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2019 Volume 53, Issue 3, Pages 150–155 (Mi uzeru622)

Mathematics

On functional equation of associativity with right quasigroup operations

D. A. Shahnazaryan

Yerevan State University

Abstract: We consider equations of associativity and transitivity. We obtain necessary conditions for the solution of these equations for right quasigroup operations, generalizing the classical quasigroup case.

Keywords: associative, transitive, isotopic, homotopic, hyperidentity.

MSC: 03C05, 03C85, 20N05, 20N99, 26B99

Received: 25.09.2019
Revised: 24.11.2019
Accepted: 10.12.2019

Language: English



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