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![]() MAHDAVI, Soheila, ASHRAFI, Ali-Reza, SALAHSHOUR, Mohammad A. Normal subgyrogroups of certain gyrogroups. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 1(47), pp. 115-122. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.09 |
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Quasigroups and Related Systems | ||||||
Volumul 30, Numărul 1(47) / 2022 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v30.09 | ||||||
CZU: 512.817 | ||||||
Pag. 115-122 | ||||||
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Suppose that (T;*) is a groupoid with a left identity such that each element a 2 T has a left inverse. Then T is called a gyrogroup if and only if (i) there exists a function gyr : T x T -Aut(T) such that for all a; b; c 2 T, a * (b * c) = (a * b) ? gyr[a; b]c, where gyr[a; b]c = gyr(a; b)(c); and (ii) for all a; b 2 T, gyr[a; b] = gyr[a ? b; b]. In this paper, the structure of normal subgyrogroups of certain gyrogroups are investigated. |
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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>Mahdavi, S.</dc:creator> <dc:creator>Ashrafi, A.R.</dc:creator> <dc:creator>Salahshour, M.</dc:creator> <dc:date>2022-08-01</dc:date> <dc:description xml:lang='en'><p>Suppose that (T;*) is a groupoid with a left identity such that each element a 2 T has a left inverse. Then T is called a gyrogroup if and only if (i) there exists a function gyr : T x T -Aut(T) such that for all a; b; c 2 T, a * (b * c) = (a * b) ? gyr[a; b]c, where gyr[a; b]c = gyr(a; b)(c); and (ii) for all a; b 2 T, gyr[a; b] = gyr[a ? b; b]. In this paper, the structure of normal subgyrogroups of certain gyrogroups are investigated.</p></dc:description> <dc:identifier>10.56415/qrs.v30.09</dc:identifier> <dc:source>Quasigroups and Related Systems 47 (1) 115-122</dc:source> <dc:title>Normal subgyrogroups of certain gyrogroups</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>