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 SM ISO690:2012USAN, Janez. On TS-n-groups. In: Quasigroups and Related Systems, 1999, nr. 1(6), pp. 81-86. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Numărul 1(6) / 1999 / ISSN 1561-2848 | ||||||
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| Pag. 81-86 | ||||||
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In this article totally simmetric n-group is described as an n-groupoid (Q;B) in which the following laws hold: B(x; y; an¡2 1 ) = B(y; x; an¡2 1 ), 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, B(x; an¡2 1 ; y) = B(x; an¡2 1 ;B(B(y; an¡2 1 ; y); an¡2 1 ; y)) and B(B(x; z; bn¡2 1 );B(y; an¡2 1 ; z); an¡2 1 ) = B(x; y; bn¡2 1 ). |
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