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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 8, Pages 17–26 (Mi fpm1374)  
This article is cited in 5 scientific papers (total in 5 papers)

Totally conjugate orthogonal quasigroups and complete graphs

G. B. Belyavskaya, T. V. Popovich

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
Full-text PDF (124 kB) Citations (5)
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Abstract: In this article, we study the spectrum of quasigroups all conjugates of which are distinct and pairwise orthogonal. We call such quasigroups totally conjugate orthogonal quasigroups (for brevity, totCO-quasigroups). Every totCO-quasigroup defines the complete conjugate orthogonal Latin square graph $K_6$. Examples of totCO-quasigroups of different orders are given.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 2, Pages 184–191
DOI: https://doi.org/10.1007/s10958-012-0907-z
Bibliographic databases:
Document Type: Article
UDC: 512.548+519.11+519.17
Language: Russian
Citation: G. B. Belyavskaya, T. V. Popovich, “Totally conjugate orthogonal quasigroups and complete graphs”, Fundam. Prikl. Mat., 16:8 (2010), 17–26; J. Math. Sci., 185:2 (2012), 184–191
Citation in format AMSBIB
\Bibitem{BelPop10}
\by G.~B.~Belyavskaya, T.~V.~Popovich
\paper Totally conjugate orthogonal quasigroups and complete graphs
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 8
\pages 17--26
\mathnet{http://mi.mathnet.ru/fpm1374}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2869830}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 185
\issue 2
\pages 184--191
\crossref{https://doi.org/10.1007/s10958-012-0907-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866342749}
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  • https://www.mathnet.ru/eng/fpm/v16/i8/p17
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :170
    References:66
    First page:2
     
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