A new method for computing the number of n-quasigroups

Journal
Buletinul Academiei de Ştiinţe a Moldovei. Matematica
Date Issued
2006-12-01
Author(s)
Mileva, Alexandra
Abstract
We use the isotopy classes of quasigroups for computing the numbers
of finite n-quasigroups (n = 1, 2, 3, . . . ). The computation is based on the property that every two isotopic n-quasigroups are substructures of the same number of
n + 1-quasigroups. This is a new method for computing the number of n-quasigroups
and in an enough easy way we could compute the numbers of ternary quasigroups
of orders up to and including 5 and of quaternary quasigroups of orders up to and
including 4.
Subjects

n-quasigroup, isotopi...

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