n-fold Commutative Hyper K-ideals

 In this paper, we aresupposed to introduce the definitions of n-fold commutative, andimplicative hyper K-ideals. These definitions are thegeneralizations of the definitions of commutative, andimplicative hyper K-ideals, respectively, which have been definedin [12]. Then we obtain some related results. In particular wedetermine the relationships between n-fold implicative hyperK-ideal and n-fold commutative hyper K-ideals of a hyperK-algebra of order 3, which satisfy the simple condition. Then,generally we study n-fold commutative hyper K-ideals in simplehyper K-algebras.