On Unitary Hypergroups over the Group
- 作者: Dalalyan S.1, Navasardyan S.1
-
隶属关系:
- Yerevan State University
- 期: 卷 40, 编号 8 (2019)
- 页面: 1045-1057
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205160
- DOI: https://doi.org/10.1134/S1995080219080079
- ID: 205160
如何引用文章
详细
A concept of the unitary hypergroup MH over the group is introduced. If for a given set M and a group H all unitary hypergroups MH over the group, up to isomorphism, are known, a method is proposed to construct all hypergroups MH over the group, up to isomorphism. It reduces the problem of description of all hypergroups over the group, up to isomorphism, to the problem of description of all unitary hypergroups over the group, up to isomorphism, and can have many other applications. When M and H are finite, a formula is obtained, which connects the numbers of elements in the classes of isomorphism of all hypergroups over the group and of all unitary hypergroups over the group.
作者简介
S. Dalalyan
Yerevan State University
编辑信件的主要联系方式.
Email: dalalyan@ysu.am
亚美尼亚, Yerevan, 375049
Sh. Navasardyan
Yerevan State University
Email: dalalyan@ysu.am
亚美尼亚, Yerevan, 375049