ลักษณะ (m,n)-ควอชีในกึ่งเซมิริง

Abstract

The purposes of this paper is to study ordered m -left ideals, ordered n - right ideals and ordered ( , ) m n -quasi-ideals of ordered semirings. Then we give characterize of ordered semirings and investigate the ordered ( , ) m n intersection property of ordered ( , ) m n -quasi-ideals in ordered semirings. Moreover, we found an interesting result that every ordered ( , ) m n -quasi-ideals of regular ordered semirings has the ordered ( , ) m n intersection property.