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...