Characterizations of Ordered gamma -semihypergroups by the Properties of Their Ordered (m,n)-Quasi-gamma -hyperideals

Abstract

In this research article, we have expanded from the research article of S.Thongrak and A.Iampan (2018). We have introduced the concept and features of ordered m-left-gamma-hyperideals, ordered n-right-gamma-hyperideals and ordered (m,n)-quasi-gamma-hyperideals respectivety and finally, we have introduced the concept of ordered (m,n)-gamma-intersection property in ordered gamma-semihypergroups and prove the every ordered (m,n)-quasi-gamma-hyperideals in regular ordered gamma-semihypergroups has the ordered (m,n)-gamma-intersection property.