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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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