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 SM ISO690:2012BELEAVSCAIA, Galina, DIORDIEV, Alexandru. On some quasi-iden tities in nite quasigroups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, nr. 3(49), pp. 19-32. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(49) / 2005 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| JEL: 20N05, 94B60. | ||||||
| Pag. 19-32 | ||||||
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| Rezumat | ||||||
In this article we consider some quasi-identities in quasigroups, in particular, quasi-identities connected with parastrophic orthogonality of a quasigroup. We also research some quasi-identities in quasigroups (in loops) with one parameter δ(δ-quasi-identities) which arose by the study of detecting coding systems such as check character systems in [6] (see also [5, 7]), establish equivalence of such quasi-identities, connection of some of them with orthogonality of quasigroups and give a number of examples of finite quasigroups with such δ-quasi-identities. |
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| Cuvinte-cheie quasigroup, loop, Group, automorphism, quasi-identity, orthogonality, parastrophe. |
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