Strongly orthogonal and uniformly orthogonal many-placed operations
In [3] we have studied connection between orthogonal hypercubes and many-placed (\(d\)-ary) operations, have considered different types of orthogonality and their relationships. In this article we continue study of orthogonality of many-placed operations, considering special types of orthogonality s...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/876 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-8762018-04-04T08:07:56Z Strongly orthogonal and uniformly orthogonal many-placed operations Belyavskaya, G. Mullen, Gary L. hypercube, orthogonal hypercubes, \(d\)-ary operation,\(d\)-ary quasigroup, orthogonal \(d\)-ary operations, strongly orthogonal operations, uniformly orthogonal operations 20N05, 20N15, 05B15 In [3] we have studied connection between orthogonal hypercubes and many-placed (\(d\)-ary) operations, have considered different types of orthogonality and their relationships. In this article we continue study of orthogonality of many-placed operations, considering special types of orthogonality such as strongly orthogonality and uniformly orthogonality. We introduce distinct types of strongly orthogonal sets and of uniformly orthogonal sets of \(d\)-ary operations, consider their properties and establish connections between them. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/876 Algebra and Discrete Mathematics; Vol 5, No 1 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/876/pdf Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T08:07:56Z |
| collection |
OJS |
| language |
English |
| topic |
hypercube orthogonal hypercubes \(d\)-ary operation,\(d\)-ary quasigroup orthogonal \(d\)-ary operations strongly orthogonal operations uniformly orthogonal operations 20N05 20N15 05B15 |
| spellingShingle |
hypercube orthogonal hypercubes \(d\)-ary operation,\(d\)-ary quasigroup orthogonal \(d\)-ary operations strongly orthogonal operations uniformly orthogonal operations 20N05 20N15 05B15 Belyavskaya, G. Mullen, Gary L. Strongly orthogonal and uniformly orthogonal many-placed operations |
| topic_facet |
hypercube orthogonal hypercubes \(d\)-ary operation,\(d\)-ary quasigroup orthogonal \(d\)-ary operations strongly orthogonal operations uniformly orthogonal operations 20N05 20N15 05B15 |
| format |
Article |
| author |
Belyavskaya, G. Mullen, Gary L. |
| author_facet |
Belyavskaya, G. Mullen, Gary L. |
| author_sort |
Belyavskaya, G. |
| title |
Strongly orthogonal and uniformly orthogonal many-placed operations |
| title_short |
Strongly orthogonal and uniformly orthogonal many-placed operations |
| title_full |
Strongly orthogonal and uniformly orthogonal many-placed operations |
| title_fullStr |
Strongly orthogonal and uniformly orthogonal many-placed operations |
| title_full_unstemmed |
Strongly orthogonal and uniformly orthogonal many-placed operations |
| title_sort |
strongly orthogonal and uniformly orthogonal many-placed operations |
| description |
In [3] we have studied connection between orthogonal hypercubes and many-placed (\(d\)-ary) operations, have considered different types of orthogonality and their relationships. In this article we continue study of orthogonality of many-placed operations, considering special types of orthogonality such as strongly orthogonality and uniformly orthogonality. We introduce distinct types of strongly orthogonal sets and of uniformly orthogonal sets of \(d\)-ary operations, consider their properties and establish connections between them. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/876 |
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AT belyavskayag stronglyorthogonalanduniformlyorthogonalmanyplacedoperations AT mullengaryl stronglyorthogonalanduniformlyorthogonalmanyplacedoperations |
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2025-07-17T10:36:42Z |
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2025-07-17T10:36:42Z |
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1837890118730383360 |