Geodesic
A~new method for computing the number of $n$-quasigroups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2006), pp. 57-64

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We use the isotopy classes of quasigroups for computing the numbers of finite $n$-quasigroups $(n= 1,2,3,\dots)$. 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. 
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     title = {A~new method for computing the number of $n$-quasigroups},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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S. Markovski; V. Dimitrova; A. Mileva. A~new method for computing the number of $n$-quasigroups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2006), pp. 57-64. http://geodesic.mathdoc.fr/item/BASM_2006_3_a5/