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 orthogonal...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157373 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862529293955891200 |
|---|---|
| author | Belyavskaya, G. Mullen, G.L. |
| author_facet | Belyavskaya, G. Mullen, G.L. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-11-24T02:44:02Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157373 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T02:44:02Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Belyavskaya, G. Mullen, G.L. 2019-06-20T03:08:03Z 2019-06-20T03:08:03Z 2006 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. https://nasplib.isofts.kiev.ua/handle/123456789/157373 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. The research described in this article was made possible in part
 by Award No. MM1-3040-CH-02 of the Moldovan Research and Development Association (MRDA) and the U.S. Civilian Research & Development Foundation for the
 Independent States of the Former Soviet Union (CRDF). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Strongly orthogonal and uniformly orthogonal many-placed operations Article published earlier |
| spellingShingle | Strongly orthogonal and uniformly orthogonal many-placed operations Belyavskaya, G. Mullen, G.L. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157373 |
| work_keys_str_mv | AT belyavskayag stronglyorthogonalanduniformlyorthogonalmanyplacedoperations AT mullengl stronglyorthogonalanduniformlyorthogonalmanyplacedoperations |