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IMI/Publicaţii/BASM/Ediţii/BASM n.1(89), 2019/

On generalization of the notion of Moufang loop to n-ary case

Authors: V.I. Onoi, L.A. Ursu

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.

V.I. Onoi
Institute of Mathematics and Computer Science
str. Academiei 5, MD-2028, Chisinau
Moldova
E-mail:

L.A. Ursu
Moldova State Technical University
Bul. S ¸tefan cel Mare ¸ si Sfint 168, MD-2004, Chi¸ sin˘ au
Moldova
E-mail:

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