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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, номер 1, страницы 22–30
(Mi basm213)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
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
Аннотация:
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.
Ключевые слова и фразы:
quasigroup, loop, primitive quasigroup, quasi-identity, multiplication group, conjugate, parastrophe, conjugate-orthogonality.
Поступила в редакцию: 17.07.2008
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm213 https://www.mathnet.ru/rus/basm/y2009/i1/p22
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