Connections of (m, n)-bi-quasi Hyperideals in Semihyperrings

Bundit Pibaljommee, Warud Nakkhasen

Abstract

We introduce the concept of left (resp. right) (m,n)-bi-quasi hyperideals of semihyperrings as a generalization of n-bi-hyperideals, where m andn are positive integers. Then, we characterize regular semihyperrings using their left (resp. right) (m, n)-bi-quasi hyperideals. Moreover, we study the connections between left (resp. right) (m,n)-bi-quasi hyperideals and some many types of hyperideals in semihyperrings.