# Basic notions and properties of ordered semihyperrings

Document Type : Research Paper

Authors

Department of Mathematics, Yazd University, Yazd, Iran.

Abstract

In this paper, we introduce the concept of semihyperring $(R,+,\cdot)$ together with a suitable partial order $\le$. Moreover, we introduce and study hyperideals in ordered semihyperrings. Simple ordered semihyperrings are defined and its characterizations are obtained. Finally, we study some properties of quasi-simple and $B$-simple ordered semihyperrings.

Keywords

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