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SM ISO690:2012 URSU, Leonid. About one special inversion matrix of 3-ary and 4-ary IP-loops. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 166-169. ISBN 978-9975-68-244-2. |
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Conference of Mathematical Society of the Republic of Moldova 3, 2014 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 19-23 august 2014 | ||||||
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Pag. 166-169 | ||||||
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It is known that an n-IP-quasigroup can have more than one inversion matrix. We prove that one of these matrices for a 3-ary IP-loop and for a 4-ary IP-loop is the matrix of permutations every of which fixes identity of a loop and has order two. It is a good matrix allowing to investigate n-IP-loops in more detail. |
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Cuvinte-cheie 3-IP-loop, 4-IP-loop, inversion system, inversion matrix |
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<?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>Ursu, L.</dc:creator> <dc:date>2014</dc:date> <dc:description xml:lang='en'>It is known that an n-IP-quasigroup can have more than one inversion matrix. We prove that one of these matrices for a 3-ary IP-loop and for a 4-ary IP-loop is the matrix of permutations every of which fixes identity of a loop and has order two. It is a good matrix allowing to investigate n-IP-loops in more detail. </dc:description> <dc:source>Conference of Mathematical Society of the Republic of Moldova (3) 166-169</dc:source> <dc:subject>3-IP-loop</dc:subject> <dc:subject>4-IP-loop</dc:subject> <dc:subject>inversion system</dc:subject> <dc:subject>inversion matrix</dc:subject> <dc:title>About one special inversion matrix of 3-ary and 4-ary IP-loops</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>