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 SM ISO690:2012SOKHATSKY, Fedir M., YUREVYCH, O.. On Commutativity and Mediality of Polyagroup
Cross Isomorphs. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, nr. 3(49), pp. 141-152. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(49) / 2005 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 141-152 | ||||||
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The notion of cross isotopy (cross isomorphism) of n-ary operations can be got from the well-known notion of isotopy (isomorphism) by replacing one of its components with a k-ary m-invertible operation [1, 2]. The idea of consideration of cross isotopy belongs to V.D. Belousov [3], who defined it for binary quasigroups. In the paper necessary and sufficient conditions for commutativity and mediality of a polyagroup cross isomorph (when n > 2k) are determined. A neutrality criterion of an arbitrary element is stated. |
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| Cuvinte-cheie n-ary quasigroup, cross isomorphism, cross isotopy, (i, j)-associative operation. |
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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>Sokhatsky, F.</dc:creator> <dc:creator>Yurevych, O.V.</dc:creator> <dc:date>2005-11-23</dc:date> <dc:description xml:lang='en'>The notion of cross isotopy (cross isomorphism) of n-ary operations can be got from the well-known notion of isotopy (isomorphism) by replacing one of its components with a k-ary m-invertible operation [1, 2]. The idea of consideration of cross isotopy belongs to V.D. Belousov [3], who defined it for binary quasigroups. In the paper necessary and sufficient conditions for commutativity and mediality of a polyagroup cross isomorph (when n > 2k) are determined. A neutrality criterion of an arbitrary element is stated. </dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 49 (3) 141-152</dc:source> <dc:subject>n-ary quasigroup</dc:subject> <dc:subject>cross isomorphism</dc:subject> <dc:subject>cross isotopy</dc:subject> <dc:subject>(i</dc:subject> <dc:subject>j)-associative operation.</dc:subject> <dc:title>On Commutativity and Mediality of Polyagroup Cross Isomorphs</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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