On S-prime hyperideals in multiplicative hyperrings

Document Type : Original Article


1 Department of Mathematics, Payame Noor University, Tehran, Iran

2 Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697 Tehran, Iran,


Let R be a multiplicative hyperring and S be a subset of R be a multiplicatively closed subset of R. In this paper, we introduce and study the concept of S-prime hyperideals which is a generalization of prime hyperideals. Some properties of S-prime hyperideals in multiplicative hyperring are presented. Then we investigate the behaviour of S-prime hyperideals under homomorphism hyperrings, in factor hyperrings, Cartesian products of hyperrings, and the fundamental relation in the context of multiplicative hyperring.