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 SM ISO690:2012USAN, Janez. N-groups as groupoids with laws. In: Quasigroups and Related Systems, 1997, nr. 1(4), pp. 67-76. ISSN 1561-2848. |
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| Quasigroups and Related Systems | |||||||
| Numărul 1(4) / 1997 / ISSN 1561-2848 | |||||||
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| Pag. 67-76 | |||||||
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In this article n-group (Q;A) is described as an n-groupoid (Q;B) in which the following two laws hold: B(B(x; z; bn¡2 1 );B(y; an¡2 1 ; z); an¡2 1 ) = B(x; y; bn¡2 1 ) and B(a; cn¡2 1 ;B(B(B(z; cn¡2 1 ; z); cn¡2 1 ; b); cn¡2 1 ;B(B(z; cn¡2 1 ; z); cn¡2 1 ; a))) = b. |
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