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| Ultima descărcare din IBN: 2018-02-26 13:28 |
| Căutarea după subiecte similare conform CZU |
| 512.5 (335) |
| Алгебра (410) |
 SM ISO690:2012EHSANI, Amir, KRAPEZ, Aleksandar, MOVSISYAN, Yuri. Algebras with Parastrophically Uncancellable Quasigroup Equations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 1(80), pp. 41-63. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 1(80) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 512.5 | ||||||
| Pag. 41-63 | ||||||
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We consider 48 parastrophically uncancellable quadratic functional equations with four object variables and two quasigroup operations in two classes: balanced non–Belousov (consists of 16 equations) and non–balanced non–gemini (consists of 32 equations). A linear representation of a group (Abelian group) for a pair of quasigroup operations satisfying one of these parastrophically uncancellable quadratic equations is obtained. As a consequence of these results, a linear representation for every operation of a binary algebra satisfying one of these hyperidentities is obtained. |
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| Cuvinte-cheie Quadratic equation, Gemini equation, Level equation, Balanced equation, Belousov equation, Medial–like equation, Parastrophically uncancellable equation, Quasigroup operation, Algebra of quasigroup operations, Hyperidentity |
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