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On hyperactions and Lie hypergroup | ||
| Journal of Finsler Geometry and its Applications | ||
| مقاله 11، دوره 3، شماره 1، مهر 2022، صفحه 127-140 اصل مقاله (106.83 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2022.10397.1060 | ||
| نویسندگان | ||
| Neda Ebrahimi* ؛ Tayebeh Waezizadeh | ||
| Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman & Mahani Mathematical Reaserch Center, 7616914111, Kerman, Iran. | ||
| چکیده | ||
| Using the action of a Lie group on a hypergroup, the notion of Lie hypergroup is defined. It is proved that tangent space of a Lie hypergroup is a hypergroup and that a differentiable map between two Lie hypergroup is good homomorphism if and only if its differential map is a good homomorphism. The action of a hypergroup on a set is defined. Using this notion, hypergroup bundle is introduced and some of its basic properties are investigated. In addition, some results on qutient hypergroups are given. | ||
| کلیدواژه‌ها | ||
| hypergroup؛ action؛ quotient space؛ sub hypergroup؛ hypergroup bundle | ||
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آمار تعداد مشاهده مقاله: 69 تعداد دریافت فایل اصل مقاله: 99 |
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