On generalization of the notion of Moufang loop to n-ary case
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ONOI, Vasile, URSU, Leonid. On generalization of the notion of Moufang loop to n-ary case. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 1(89), pp. 52-70. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322

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

CZU: 510.6+512.548.7
MSC 2010: 20N05 20N10 20N015.

Pag. 52-70

Onoi Vasile1, Ursu Leonid2
 
1 Vladimir Andrunachievici Institute of Mathematics and Computer Science,
2 Technical University of Moldova
 
 
Disponibil în IBN: 16 august 2019


Rezumat

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.

Cuvinte-cheie
quasigroup, loop, Moufang loop, n-ary quasigroup, n-ary Moufang loop