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 such...
Збережено в:
| Дата: | 2006 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157373 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Strongly orthogonal and uniformly orthogonal many-placed operations / G. Belyavskaya, G.L. Mullen // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 1. — С. 1–17. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157373 |
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dspace |
| spelling |
irk-123456789-1573732019-06-21T01:26:25Z Strongly orthogonal and uniformly orthogonal many-placed operations Belyavskaya, G. Mullen, G.L. 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. 2006 Article Strongly orthogonal and uniformly orthogonal many-placed operations / G. Belyavskaya, G.L. Mullen // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 1. — С. 1–17. — Бібліогр.: 6 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20N05, 20N15, 05B15. http://dspace.nbuv.gov.ua/handle/123456789/157373 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Belyavskaya, G. Mullen, G.L. |
| spellingShingle |
Belyavskaya, G. Mullen, G.L. Strongly orthogonal and uniformly orthogonal many-placed operations Algebra and Discrete Mathematics |
| author_facet |
Belyavskaya, G. Mullen, G.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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157373 |
| citation_txt |
Strongly orthogonal and uniformly orthogonal many-placed operations / G. Belyavskaya, G.L. Mullen // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 1. — С. 1–17. — Бібліогр.: 6 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT belyavskayag stronglyorthogonalanduniformlyorthogonalmanyplacedoperations AT mullengl stronglyorthogonalanduniformlyorthogonalmanyplacedoperations |
| first_indexed |
2023-05-20T17:51:51Z |
| last_indexed |
2023-05-20T17:51:51Z |
| _version_ |
1796154267947499520 |