Operations on hyperideals in ordered Krasner hyperrings

Abstract

In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize intra-regular ordered Krasner hyperrings by the properties of these interior hyperideals. Finally, we give some results on ordered Krasner hyperrings.

Keywords

• algebraic hyperstructure
• ordered krasner hyperring
• hyperideal
• interior hyperideal
• intra-regular
• primary 16y99
• secondary 20n20.