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http://hdl.handle.net/20.500.12188/23870| Title: | 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-Dec-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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| File | Description | Size | Format | |
|---|---|---|---|---|
| 57-64_A new method for computing the number of n-quasigroups.pdf | 124.52 kB | Adobe PDF | View/Open |
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