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Ebrahimi, Neda, Waezizadeh, Tayebeh. (1401). On hyperactions and Lie hypergroup. سامانه مدیریت نشریات علمی, 3(1), 127-140. doi: 10.22098/jfga.2022.10397.1060
Neda Ebrahimi; Tayebeh Waezizadeh. "On hyperactions and Lie hypergroup". سامانه مدیریت نشریات علمی, 3, 1, 1401, 127-140. doi: 10.22098/jfga.2022.10397.1060
Ebrahimi, Neda, Waezizadeh, Tayebeh. (1401). 'On hyperactions and Lie hypergroup', سامانه مدیریت نشریات علمی, 3(1), pp. 127-140. doi: 10.22098/jfga.2022.10397.1060
Ebrahimi, Neda, Waezizadeh, Tayebeh. On hyperactions and Lie hypergroup. سامانه مدیریت نشریات علمی, 1401; 3(1): 127-140. doi: 10.22098/jfga.2022.10397.1060

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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