basic notions and properties of ordered semihyperrings
نویسندگان
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.
منابع مشابه
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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عنوان ژورنال:
categories and general algebraic structures with applicationsناشر: shahid beheshti university
ISSN 2345-5853
دوره 4
شماره 1 2015
کلمات کلیدی
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