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 SM ISO690:2012ZAHEDI, Mohammad-Mehdi, TORKZADEH, Lida, BORZOOEI, Rajab Ali. Hyper I−algebras and polygroups
. In: Quasigroups and Related Systems, 2004, nr. 1(11), pp. 103-113. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Numărul 1(11) / 2004 / ISSN 1561-2848 | ||||||
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| Pag. 103-113 | ||||||
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In this note rst we give the notion of hyper I -algebra, which is a generalization of
BCI -algebra and also it is a generalization of hyper K -algebra. Then we obtain some
fundamental results about this notion. Finally we give some relationships between the
notion of hyper I -algebra and the notions of hypergroup and polygroup. In particular
we study these connections categorically. In other words by considering the categories of
hyper I -algebrs, hypergroups and commutative polygroups, we give some full and faithful
functors.
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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>Zahedi, M.</dc:creator> <dc:creator>Torkzadeh, L.</dc:creator> <dc:creator>Borzooei, R.</dc:creator> <dc:date>2004-01-05</dc:date> <dc:description xml:lang='en'>In this note rst we give the notion of hyper I -algebra, which is a generalization of BCI -algebra and also it is a generalization of hyper K -algebra. Then we obtain some fundamental results about this notion. Finally we give some relationships between the notion of hyper I -algebra and the notions of hypergroup and polygroup. In particular we study these connections categorically. In other words by considering the categories of hyper I -algebrs, hypergroups and commutative polygroups, we give some full and faithful functors. </dc:description> <dc:source>Quasigroups and Related Systems 11 (1) 103-113</dc:source> <dc:title>Hyper I−algebras and polygroups </dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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