%0 Journal Article
%T Ideal theory in semihyperrings
%J Iranian Journal of Science and Technology (Sciences)
%I Springer
%Z 10286276
%A OstadhadiDehkordi, S.
%A Davvaz, B.
%D 2013
%\ 08/12/2013
%V 37
%N 3
%P 251263
%! Ideal theory in semihyperrings
%K Semihyperring
%K Γsemihyperring
%K Γhyperring
%K simple Γsemihyperring
%K regular Γhyperring
%R 10.22099/ijsts.2013.1602
%X The concept of
semihyperring is a generalization of semiring, a generalization of semihyperring and a
generalization of
semiring. Since the theory of ideals plays an important role in the theory of

semihyperring, in this paper, we will make an intensive study of the notions of Noetherian, Artinian, simple and
regular
semihyperrings. The bulk of this paper is devoted to stating and proving analogues to several theorems
in the theory of
semihyperrings.
%U http://ijsts.shirazu.ac.ir/article_1602_3ffa866410f4767ad7570a357da3075a.pdf