%0 Journal Article
%T Basic notions and properties of ordered semihyperrings
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Davvaz, B.
%A Omidi, S.
%D 2016
%\ 02/01/2016
%V 4
%N 1
%P 43-62
%! Basic notions and properties of ordered semihyperrings
%K ordered semihyperring
%K hyperideal
%K simple
%K quasi-simple
%K $B$-simple
%R
%X 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.
%U https://cgasa.sbu.ac.ir/article_11181_a73c9c7bbdb038f75ed62901bc042c2a.pdf