A class of hyperrings connected to preordered generalized Γ-rings

In this paper, we define the notion of preordered weak Γ-rings as a generalization of the concept of Γ-rings, the basic properties of prime ideals in weak Γ-rings are developed. At the end we construct a class of hyperrings in the sense of Rota from weak Γ-rings and also a connection between morphisms of the weak Γ-rings and the morphism of associated weak Γ-hyperrings has been investigated.