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 SM ISO690:2012GALMAK, A.. Remarks on polyadic groups. In: Quasigroups and Related Systems, 2000, nr. 1(7), pp. 67-70. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Numărul 1(7) / 2000 / ISSN 1561-2848 | ||||||
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| Pag. 67-70 | ||||||
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We prove that an n-ary semigroup (G; [ ] ) is an n-ary group (n > 3) i_ there exists d 2 G such that for every a; b 2 G and some _xed i; j 2 f1; : : : ; n ¡ 1g the following two equations [ (i) a ; (n¡i¡1) b ; x ] = d and [ y; (n¡j¡1) b ; (j) a ] = b are solvable. |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Galmak, A.M.</dc:creator> <dc:date>2000-01-05</dc:date> <dc:description xml:lang='en'>We prove that an n-ary semigroup (G; [ ] ) is an n-ary group (n > 3) i_ there exists d 2 G such that for every a; b 2 G and some _xed i; j 2 f1; : : : ; n ¡ 1g the following two equations [ (i) a ; (n¡i¡1) b ; x ] = d and [ y; (n¡j¡1) b ; (j) a ] = b are solvable. </dc:description> <dc:source>Quasigroups and Related Systems 7 (1) 67-70</dc:source> <dc:title>Remarks on polyadic groups</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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