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 SM ISO690:2012KOVALI, Raisa. On a Functional Equation with a Group Isotopy Property. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, nr. 2(48), pp. 65-71. 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. 65-71 | ||||||
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The set of all solutions of functional equation F1(F2(z; x);F3(y; z)) = F4(F5(x; y); x) on quasigroup operations of an arbitrary fixed set are found. The result implies W. Dudek’s theorem [1], which presents the operation in a quasigroup satisfying the identity xy · x = zx · yz. |
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| Cuvinte-cheie quasigroup, functional equation, identity., group isotope |
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