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Наслов: A new method for computing the number of n-quasigroups
Authors: Markovski, Smile 
Dimitrova, Vesna 
Mileva, Alexandra
Keywords: n-quasigroup, isotopism, n-Latin square
Issue Date: 1-дек-2006
Journal: Buletinul Academiei de Ştiinţe a Moldovei. Matematica
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.
URI: http://hdl.handle.net/20.500.12188/23870
Appears in Collections:Faculty of Computer Science and Engineering: Journal Articles

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