On S-prime hyperideals in multiplicative hyperrings

@article{Ghiasvand2021OnSH,
  title={On S-prime hyperideals in multiplicative hyperrings},
  author={P. Ghiasvand and F. Farzalipour},
  journal={Journal of Algebraic Hyperstructures and Logical Algebras},
  year={2021}
}
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… 
J-prime hyperideals and their generalizations
Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some properties of them.