some results on graded s-prime hyperideals

Let g be a group with identity e. let r be a graded multiplicative hyperring and s ⊆ h(r) be a multiplicatively closed subset of r. in this paper, we introduce and study the concept of graded s-prime hyperideals which is a generalization of graded prime hyperideals. some properties of graded s-prime hyperideals in graded multiplicative hyperring are presented. moreover, we investigate the behavior of graded s-prime hyperideals under homomorphism graded hyperrings, in factor graded hyperrings, cartesian products of graded hyperrings.