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 SM ISO690:2012BELEAVSCAIA, Galina, DIORDIEV, Alexandru. Conjugate-orthogonality and the complete multiplication group of a quasigroup. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, nr. 1(59), pp. 22-30. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 1(59) / 2009 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 22-30 | ||||||
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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. |
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| Cuvinte-cheie quasigroup, loop, primitive quasigroup, quasi-identity, multiplication group |
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