Hyperideal theory in ordered Krasner hyperrings

Abstract

In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤). In particular, we introduce the concepts of prime hyperideals and semiprime hyperideals of an ordered Krasner hyperring and present several examples of them.

Keywords

• algebraic hyperstructure
• ordered krasner hyperring
• prime hyperideal
• semiprime hyperideal
• convex hyperideal
• m-system
• primary 16y99
• secondary 20n20