Results on i.p.s. Hypergroups
R.A. Borzooei, A. Hasankhani and H. Rezaei
In this note, we first construct an i.p.s hypergroup from an arbitrary finite i.p.s hypergroup. Then we show that for each positive integer n, there is an i.p.s hypergroup (which is not a group) of order n. Finally we give some classifications of i.p.s hypergroups of order 9. In fact, first we define the notion of a primary frame for an i.p.s hypergroup. Then we characterize:
(i) All i.p.s hypergroups of order 9 with primary frame Z8.
(ii) All i.p.s hypergroups of order 9 with primary frame Z7 under a certain condition.