Basic notions and properties of ordered semihyperrings

نویسندگان

B. Davvaz Department of Mathematics, Yazd University, Yazd, Iran.

S. Omidi Department of Mathematics, Yazd University, Yazd, Iran.

چکیده مقاله:

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.

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basic notions and properties of ordered semihyperrings

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.

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