V. I. Onoi, L. A. Ursu, “On generalization of the notion of Moufang loop to <nobr>$n$</nobr>-ary case”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, Number 1,Pages <nobr>52

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

V. I. Onoi^a, L. A. Ursu^b

^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

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.

MSC: MSC 20N05 20N10 20N015

Received: 31.07.2018

Language: English