Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
711 0 |
SM ISO690:2012 , , DIMITROVA, Vesna. A new method for computing the number of n-quasigroups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 3(52), pp. 57-64. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(52) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 57-64 | ||||||
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Rezumat | ||||||
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 prop- erty 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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Cuvinte-cheie n-quasigroup, n-Latin square., isotopism |
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