%0 Journal Article %T On S-prime hyperideals in multiplicative hyperrings %J Journal of Algebraic Hyperstructures and Logical Algebras %I University of Hatef (Hatef College University) %Z 2676-6000 %A Ghiasvand, P. %A Farzalipour, F. %D 2021 %\ 05/01/2021 %V 2 %N 2 %P 25-34 %! On S-prime hyperideals in multiplicative hyperrings %K Multiplicative hyperring %K prime hyperideal %K S-prime hyperideal %R 10.52547/HATEF.JAHLA.2.2.25 %X 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. %U https://jahla.hatef.ac.ir/article_132754_ef2846382691bd2ac9e5ed4a756dca85.pdf