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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 1, Pages 22–30 (Mi basm213)  
This article is cited in 2 scientific papers (total in 2 papers)

Research articles

Conjugate-orthogonality and the complete multiplication group of a quasigroup

G. Belyavskayaa, A. Diordiev

a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
Full-text PDF (181 kB) Citations (2)
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Abstract: In this note we establish connections between the orthogonality of conjugates of a finite or infinite quasigroup and some strictly transitive subsets of the complete multiplication group of this quasigroup. These connections are used for the investigation of orthogonality of distinct pairs of conjugates for quasigroups (loops) from some classes. For finite quasigroups the quasi-identities corresponding to orthogonality of pairs of conjugates are given.
Keywords and phrases: quasigroup, loop, primitive quasigroup, quasi-identity, multiplication group, conjugate, parastrophe, conjugate-orthogonality.
Received: 17.07.2008
Bibliographic databases:
Document Type: Article
MSC: 20N05, 20N15
Language: English
Citation: G. Belyavskaya, A. Diordiev, “Conjugate-orthogonality and the complete multiplication group of a quasigroup”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 1, 22–30
Citation in format AMSBIB
\Bibitem{BelDio09}
\by G.~Belyavskaya, A.~Diordiev
\paper Conjugate-orthogonality and the complete multiplication group of a~quasigroup
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2009
\issue 1
\pages 22--30
\mathnet{http://mi.mathnet.ru/basm213}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2532242}
\zmath{https://zbmath.org/?q=an:1179.20059}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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