Volume 35 • Number 2 • 2012   • Completely Simple and Regular Semi Hypergroups Hossein Mousa Jafarabadi, Nor Haniza Sarmin and Mohammad Reza Molaei Abstract. In this paper the notion of simple and completely simple semi hypergroups are introduced. Basic properties of these algebraic structures are considered. Some methods for constructing new kinds of these hyperstructures are presented. The regularity of semi hypergroups is considered and three structural results are proved. 2010 Mathematics Subject Classification: 20N20. Full text: PDF