1
Department of Mathematics, Faculty of Mathematics, Tarbiat Modares University, Tehran, Iran
2
Department of Mathematics, Faculty of Mathematics, Tarbiat Modares University, Tehran, Iran.
Abstract
In this paper, we are supposed to introduce the definitions of n-fold commutative, and implicative hyper K-ideals. These definitions are the generalizations of the definitions of commutative, and implicative hyper K-ideals, respectively, which have been defined in [12]. Then we obtain some related results. In particular we determine the relationships between n-fold implicative hyper K-ideal and n-fold commutative hyper K-ideals of a hyper K-algebra of order 3, which satisfy the simple condition. Then, generally we study n-fold commutative hyper K-ideals in simple hyper K-algebras.
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