About top-quasigroups
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2024-01-31 17:22
SM ISO690:2012
SOKHATSKY, Fedir M., PIRUS, Ievgen. About top-quasigroups. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 162-165. ISBN 978-9975-68-244-2.
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Conference of Mathematical Society of the Republic of Moldova
3, 2014
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 19-23 august 2014

About top-quasigroups

Pag. 162-165

Sokhatsky Fedir M.1, Pirus Ievgen2
 
1 Vinnytsia Regional Institute of Postgraduate Pedagogical Education of employees,
2 Donbass State Pedagogical University
 
 
Disponibil în IBN: 9 octombrie 2017


Rezumat

An n-ary quasigroup is an asymmetric top-quasigroup, if all its parastrophes are pairwise different and n-wise orthogonal. Let p be the least prime factor of its order. An n-ary asymmetric topquasigroup, which is linear on a cyclic group, exists if and only if n = 2; p > 7 or n = 3; p > 19.

Cuvinte-cheie
parastrophes, Latin cubes, Latin hyper cubes, top-quasigroup,

quasigroup