On weakly semiprime segments of ordered semihypergroups

Abstract

In this paper, we introduce the concept of weakly semiprime segments in an ordered semihypergroup and classify weakly semiprime segments of an ordered semihypergroup into four cases which are simple, exceptional, Archimedean and decomposable.

Keywords

• ordered semihypergroups
• weakly semiprime hyperideals
• weakly semiprime segments