On Factorizable Semihypergroups

Abstract

In this paper, we define and study the concept of the factorizable semihypergroup, i.e., a semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups. We consider some classes of semihypergroups such as regular semihypergroups, hypergroups, regular hypergroups, and polygroups and investigate their factorization property.

Keywords

• semihypergroup
• factorization
• regular semihypergroup
• polygroup