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Hyper I-algebras and polygroups
Authors: M. M. Zahedi, L. Torkzadeh, R. A. Borzooei
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Abstract
In this note first 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.M. M. Zahedi,
L. Torkzadeh,
R. A. Borzooei
Deptartment of Mathematics,
Shahid Bahonar University of Kerman,
Kerman,
Iran.
E-mail: (M.M. Zahedi)
E-mail: (L. Torkzadeh)
L. Torkzadeh,
R. A. Borzooei
Deptartment of Mathematics,
Shahid Bahonar University of Kerman,
Kerman,
Iran.
E-mail: (M.M. Zahedi)
E-mail: (L. Torkzadeh)
Fulltext
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Contents
- SQS-3-Groupoid with q(x,x,y)=x
- Some results on hyper BCK-algebras
- Quasi p-ideals of quasi BCI-algebras
- On groupoids with identity x(xy) = y
- m-systems and n-systems in ordered semigroups
- Fuzzy congruences on groups
- Quotient groups induced by fuzzy subgroups
- Zeroids and idempoids in AG-groupoids
- Characterization of division µ-LA-semigroups
- A note on Salem numbers and Golden mean
- Abel-Grassmann\'s bands
- Hyper I-algebras and polygroups
- Extensions of Latin subsquares and local embeddability of groups and group algebras
