On hypercyclic fully zero-simple semihypergroups

Abstract

Let I be the class of fully zero-simple semihypergroups generated by a hyperproduct. In this paper westudy some properties of residual semihypergroup (H+; ⋆) of a semihypergroup (H; ◦) 2 I. Moreover, we find sufficientconditions for (H; ◦) and (H+; ⋆) to be cyclic