A new method for computing the number of n-quasigroups

Markovski, Smile and Dimitrova, Vesna and Mileva, Aleksandra (2006) A new method for computing the number of n-quasigroups. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 52 (3). pp. 57-64. ISSN 1024-7696

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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 a property that every two isotopic n-quasigroups are building 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.

Item Type: Article
Subjects: Natural sciences > Matematics
Divisions: Faculty of Computer Science
Depositing User: Aleksandra Mileva
Date Deposited: 30 Oct 2012 18:03
Last Modified: 30 Oct 2012 18:03
URI: http://eprints.ugd.edu.mk/id/eprint/102

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