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 SM ISO690:2012BELEAVSCAIA, Galina. Pairwise orthogonality of n-ary operations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, nr. 3(49), pp. 5-18. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(49) / 2005 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| JEL: 20N05, 20N15. | ||||||
| Pag. 5-18 | ||||||
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| Rezumat | ||||||
The notions of hypercube and of the orthogonality of two hypercubes were arised in combinatorial analysis. In [11] a connection between n-dimensional hypercubes and algebraic n-ary operations was established. In this article we use an algebraic approach to the study of orthogonality of two hypercubes (pairwise orthogonality). We give a criterion of orthogonality of two finite k-invertible n-ary operations, which is used by the research of orthogonality and parastrophe-orthogonality of two n-ary T-quasigroups. Some examples are given and connection between admissibility and pairwise orthogonality of n-ary operations is established. |
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| Cuvinte-cheie Hypercube, orthogonal hypercubes, n-ary operation, n-ary T-quasigroup, orthogonal n-ary operations ., n-ary quasigroup, parastrophe, transversal |
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