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 SM ISO690:2012SHCHERBACOV, Victor, MULLEN, Gary. On orthogonality of binary operations and squares. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, nr. 2(48), pp. 3-42. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(48) / 2005 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 3-42 | ||||||
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Orthogonality of a pair of binary groupoids, left quasigroups and quasigroups from some points of view is studied. Necessary and sufficient conditions of orthogonality of a finite quasigroup and any its parastrophe (conjugate quasigroup in other terminology), including ones in language of quasi-identities, are given. New concept of gisotopy, which generalizes the concept of isotopy, is defined. There is information on quasigroups with self-orthogonal conjugates. |
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| Cuvinte-cheie Groupoid, quasigroup, Latin square, left quasigroup, row- Latin square |
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