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...
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| Published in: | Algebra and Discrete Mathematics |
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| 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| Summary: | 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.
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| ISSN: | 1726-3255 |