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On some properties of single power cyclic hypergroups and regular relations

M. Al Tahan

Department of Mathematics, Lebanese International University, Bakaa, Lebanon

E-mail Address: madeline.tahan@liu.edu.lb

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and

B. Davvaz

Department of Mathematics, Yazd University, Yazd, Iran

E-mail Address: davvaz@yazd.ac.ir

Corresponding author.

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https://doi.org/10.1142/S0219498817502140Cited by:6 (Source: Crossref)

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.

Communicated by D. S. Passman

Keywords:

AMSC: 20N20

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