Characterizations of regular ordered semihyperrings by their quasi-hyperideals

Abstract

We investigate some properties of quasi-hyperideals and show that quasi-hyperideals and bi-hyperideals coincide in regular ordered semihyperrings. Furthermore, we give characterizations of regular ordered semihyperrings, regular duo ordered semihyperrings and left (resp. right) regular ordered semihyperrings by their quasi-hyperideals.