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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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/876 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543364549181440 |
|---|---|
| author | Belyavskaya, G. Mullen, Gary L. |
| author_facet | Belyavskaya, G. Mullen, Gary L. |
| author_sort | Belyavskaya, G. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T08:07:56Z |
| 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. |
| first_indexed | 2026-02-08T07:58:10Z |
| format | Article |
| id | admjournalluguniveduua-article-876 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:10Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | Strongly orthogonal and uniformly orthogonal many-placed operations |
| title_sort | strongly orthogonal and uniformly orthogonal many-placed operations |
| topic | hypercube orthogonal hypercubes \(d\)-ary operation,\(d\)-ary quasigroup orthogonal \(d\)-ary operations strongly orthogonal operations uniformly orthogonal operations 20N05 20N15 05B15 |
| topic_facet | hypercube orthogonal hypercubes \(d\)-ary operation,\(d\)-ary quasigroup orthogonal \(d\)-ary operations strongly orthogonal operations uniformly orthogonal operations 20N05 20N15 05B15 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/876 |
| work_keys_str_mv | AT belyavskayag stronglyorthogonalanduniformlyorthogonalmanyplacedoperations AT mullengaryl stronglyorthogonalanduniformlyorthogonalmanyplacedoperations |