Hyper I−algebras and polygroups

Zahedi Mohammad-Mehdi; Torkzadeh Lida; Borzooei Rajab Ali

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2022-09-17 09:37

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ZAHEDI, 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

Hyper I−algebras and polygroups

Pag. 103-113

Zahedi Mohammad-Mehdi, Torkzadeh Lida, Borzooei Rajab Ali

Disponibil în IBN: 14 decembrie 2013

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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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