n-fold Commutative Hyper K-ideals

Document Type: Research articles

Authors

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.

Keywords