Cyclic hypergroups
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Abstract (EN)
The general purpose of this thesis is to investigate the properties of subhypergroups of cyclic hypergroups. The study consists of three main parts. In the first part, studies on cyclic hypergroups in the literature are included. In the second part, a compilation of basic concepts in hypergroups is presented. In the third part of the study, which is partially original, cyclic hypergroups were examined. In particular, it was investigated under which conditions subhypergroups of cyclic hypergroups can be cyclic. It has been shown with examples that many theorems that exist in cyclic groups are not provided in cyclic hypergroups. On the other hand, parallel results to the ones in group theory were obtained in homomorphic images of hypergroups.
Author
Sümeyye Erol
How to Cite
Sümeyye Erol (Master Thesis). Cyclic hypergroups, 2021, Tekirdağ Namık Kemal University.
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