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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, Number 1, Pages 52–70 (Mi basm494)  
On generalization of the notion of Moufang loop to $n$-ary case

V. I. Onoia, L. A. Ursub

a Institute of Mathematics and Computer Science, str. Academiei 5, MD-2028, Chisinau, Moldova
b Moldova State Technical University, Bul. Ştefan cel Mare şi Sfint 168, MD-2004, Chişinău, Moldova
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Abstract: Using isotopical approach we generalize concept of binary Moufang loop on $n$-ary ($n>2$) case. We give two examples of ternary Moufang loop which are not a ternary group.
Keywords and phrases: quasigroup, loop, Moufang loop, $n$-ary quasigroup, $n$-ary Moufang loop.
Received: 31.07.2018
Document Type: Article
MSC: MSC 20N05 20N10 20N015
Language: English
Citation: V. I. Onoi, L. A. Ursu, “On generalization of the notion of Moufang loop to $n$-ary case”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 1, 52–70
Citation in format AMSBIB
\Bibitem{OnoUrs19}
\by V.~I.~Onoi, L.~A.~Ursu
\paper On generalization of the notion of Moufang loop to $n$-ary case
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2019
\issue 1
\pages 52--70
\mathnet{http://mi.mathnet.ru/basm494}
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