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Ultima descărcare din IBN: 2022-09-30 14:40 |
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512.548.7 (16) |
Algebră (400) |
SM ISO690:2012 BELEAVSCAIA, Galina, POPOVICI, Tatiana. Near-totally conjugate orthogonal quasigroups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 3(76), pp. 89-96. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(76) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.548.7 | ||||||
Pag. 89-96 | ||||||
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Rezumat | ||||||
The near-totally conjugate orthogonal quasigroups (near-totCO-quasi-
groups), i. e., quasigroups for which there exist five (but there are no six) pairwise orthogonal conjugates, are studied. We consider six types of such quasigroups, connection between them and prove that for any integer n ≥ 7 which is relatively prime to 2, 3 and 5 there exist near-totCO-quasigroups of order n of any type. Three types of conjugate orthogonality graphs, associated with these quasigroups are characterized. |
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Cuvinte-cheie quasigroup, T-quasigroup, conjugate, parastrophe, Latin square, conju- gate orthogonal quasigroup, graph of conjugate orthogonality. |
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