Keyword: Cyclic Hypergroup : Search

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articleNo Access
On some properties of single power cyclic hypergroups and regular relations
- M. Al Tahan and
- B. Davvaz
Journal of Algebra and Its Applications04 Oct 2017
Preview Abstract
After introducing the notion of hypergroups by Marty, a number of generalizations of this fundamental concept has been studied. In this paper, we study a special type of hypergroups; single power cyclic hypergroups and present some of their properties. First, we determine the fundamental group of single power cyclic hypergroups. Next, we construct onto homomorphisms from any single power cyclic hypergroup to another defined hypergroups. Finally, we characterize all commutative single power cyclic hypergroups of order two.
articleNo Access
Commutative single power cyclic hypergroups of order three and period two
- M. Al Tahan and
- B. Davvaz
Discrete Mathematics, Algorithms and Applications01 Oct 2017
Preview Abstract
Cyclic hypergroups are of great importance due to their applications to many fields in mathematics. In this paper, we classify all commutative single power cyclic hypergroups of order three and period two. Moreover, we prove some new interesting properties regarding cyclic hypergroups.

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