S. Markovski, V. Dimitrova, A. Mileva
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.
– 0.12 Mb