| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 SM ISO690:2012KRAPEZ, Aleksandar, SHCHERBACOV, Victor. Quasigroups, units and Belousov’s problem # 18. In: Armenian Journal of Mathematics, 2019, nr. 9(11), pp. 1-27. ISSN 1829-1163. |
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 Armenian Journal of Mathematics |
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| Numărul 9(11) / 2019 / ISSN 1829-1163 | ||||||
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| Pag. 1-27 | ||||||
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| Rezumat | ||||||
We investigate {left, right, middle} units of quasigroups and families of identities which might imply their existence. A prominent role is played by the newly introduced notion of derivative operation, generalizing Belousov’s notions of left/right derivative operations for quasigroups. Partial solutions of the Belousov’s Problem # 18 and its generalizations are obtained. Several related problems remain open. |
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| Cuvinte-cheie Derivative operation, isotopy, loop, quasigroup, unit |
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<meta name="citation_title" content="Quasigroups, units and Belousov’s problem # 18"> <meta name="citation_author" content="Krapez Aleksandar"> <meta name="citation_author" content="Shcherbacov Victor"> <meta name="citation_publication_date" content="2019/06/11"> <meta name="citation_journal_title" content="Armenian Journal of Mathematics"> <meta name="citation_volume" content="11"> <meta name="citation_issue" content="9"> <meta name="citation_firstpage" content="1"> <meta name="citation_lastpage" content="27"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/Quasigroups%2C%20units%20and%20Belousov_s%20problem.pdf">
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