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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 1, Pages 22–30
(Mi basm213)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/basm213 https://www.mathnet.ru/eng/basm/y2009/i1/p22
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Abstract page: | 229 | Full-text PDF : | 74 | References: | 36 | First page: | 1 |
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