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 SM ISO690:2012POPOVICI, Tatiana. On near-totally conjugate orthogonal quasigroups. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 150-153. ISBN 978-9975-68-244-2. |
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| Conference of Mathematical Society of the Republic of Moldova 3, 2014 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 19-23 august 2014 | ||||||
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| Pag. 150-153 | ||||||
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In the article the near-totally conjugate orthogonal quasigroups (near-totCO-quasigroups), i.e., quasigroups for which there exist five (but there are no six) pairwise orthogonal conjugates, are studied. We proved that for any integer n ¸ 7 that is relatively prime to 2, 3 and 5 there exist near-totCO-quasigroups of order n, and characterized graphs of conjugate orthogonality, connected with these quasigroups. |
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| Cuvinte-cheie quasigroup, T-quasigroup, Latin square, conjugate orthogonal quasigroup, graph of conjugate orthogonality |
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