Basic notions and properties of ordered semihyperrings

نویسندگان
Davvaz, B. ID 1
Omidi, S. ID 2

1 Department of Mathematics, Yazd University, Yazd, Iran.

2 Department of Mathematics, Yazd University, Yazd, Iran.

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چکیده

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.

کلیدواژه‌ها
ordered semihyperring, hyperideal, simple, quasi-simple, $B$-simple