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Admissible n-quasi-groups. Connection between the admissibility and orthogonality. (Russian) Zbl 0582.20058
For a new generalization of admissibility for n-quasigroups it is shown that
- every n-quasigroup from an orthogonal system of n-quasigroups is admissible;
- every admissible n-quasigroup has an orthogonal n-quasigroup.
Reviewer: Ja.Henno
MSC:
20N15 \(n\)-ary systems \((n\ge 3)\)
20N05 Loops, quasigroups
05B15 Orthogonal arrays, Latin squares, Room squares
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