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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, номер 3, страницы 5–18
(Mi basm133)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Pairwise orthogonality of $n$-ary operations
G. Belyavskaya Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
Аннотация:
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.
Ключевые слова и фразы:
Hypercube, orthogonal hypercubes, $n$-ary operation, $n$-ary quasigroup, $n$-ary $T$-quasigroup, parastrophe, transversal, orthogonal $n$-ary \linebreak operations.
Поступила в редакцию: 09.11.2005
Образец цитирования:
G. Belyavskaya, “Pairwise orthogonality of $n$-ary operations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2005, no. 3, 5–18
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm133 https://www.mathnet.ru/rus/basm/y2005/i3/p5
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Страница аннотации: | 290 | PDF полного текста: | 66 | Список литературы: | 52 | Первая страница: | 1 |
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