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Algebra and Discrete Mathematics, 2006, Issue 1, Pages 1–17 (Mi adm243)  
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

Strongly orthogonal and uniformly orthogonal many-placed operations

G. Belyavskayaa, Gary L. Mullenb

a Institute of Mathematics and Computer Science, Academy of Sciences, Academiei str. 5 MD–2028, Chisinau, Moldova
b Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA
Full-text PDF (254 kB) Citations (3)
Abstract: 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.
Keywords: hypercube, orthogonal hypercubes, $d$-ary operation, $d$-ary quasigroup, orthogonal $d$-ary operations, strongly orthogonal operations, uniformly orthogonal operations.
Bibliographic databases:
Document Type: Article
MSC: 20N05, 20N15, 05B15
Language: English
Citation: G. Belyavskaya, Gary L. Mullen, “Strongly orthogonal and uniformly orthogonal many-placed operations”, Algebra Discrete Math., 2006, no. 1, 1–17
Citation in format AMSBIB
\Bibitem{BelMul06}
\by G.~Belyavskaya, Gary~L.~Mullen
\paper Strongly orthogonal and uniformly orthogonal many-placed operations
\jour Algebra Discrete Math.
\yr 2006
\issue 1
\pages 1--17
\mathnet{http://mi.mathnet.ru/adm243}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2286367}
\zmath{https://zbmath.org/?q=an:1118.20059}
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  • https://www.mathnet.ru/eng/adm243
  • https://www.mathnet.ru/eng/adm/y2006/i1/p1
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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