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// 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
Fulltext:
PDF file (157 kB)
References
©
Steklov Math. Inst. of RAS
, 2024