HYPERMATRIX REPRESENTATIONS OF SINGLE POWER CYCLIC HYPERGROUPS

Abstract

Cyclic hypergroups are special type of hypergroups that have some importance for their applications in different fields.  In this paper, we deal with hypermatrix representations of single power cyclic hypergroups.  First, we consider single power cyclic hypergroups with infinite period, define a commutative semihyperring and construct non-trivial hypermatrix representations over our defined semihyperring.  Then we do the same for single power cyclic hypergroups with finite period.  Many properties of these hypermatrix representations are presented.