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512.548 (79) |
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SM ISO690:2012 KRAINICHUK, Halyna, SOKHATSKY, Fedir M.. Solution and full classification of generalized binary functional equations of the type (3; 3; 0). In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 2(87), pp. 41-53. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(87) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.548 | ||||||
MSC 2010: 34C05, 58F14. | ||||||
Pag. 41-53 | ||||||
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Rezumat | ||||||
Generalized binary functional quasigroup equations in two individual variables with three appearances are under consideration. There exist five classes of the equations (two equations belong to the same class if there exists a relation between sets of their solutions). The quasigroup solution sets of equations from every class are given. In addition, it is proved that every parastrophe of a quasigroup has an orthogonal mate if the quasigroup has an orthogonal mate. |
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Cuvinte-cheie quasigroup, functional equation, quasigroup solution, invariant, parastrophic equivalence, orthogonal mate, Latin square., identity |
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