University of MazandaranCaspian Journal of Mathematical Sciences (CJMS)1735-06111220120701n-fold Commutative Hyper K-ideals9410349ENP. BabariDepartment of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, IranM. PirasghariDepartment of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.M. M. ZahediDepartment of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.Journal Article20120729 In this paper, we are<br />supposed to introduce the definitions of n-fold commutative, and<br />implicative hyper K-ideals. These definitions are the<br />generalizations of the definitions of commutative, and<br />implicative hyper K-ideals, respectively, which have been defined<br />in [12]. Then we obtain some related results. In particular we<br />determine the relationships between n-fold implicative hyper<br />K-ideal and n-fold commutative hyper K-ideals of a hyper<br />K-algebra of order 3, which satisfy the simple condition. Then,<br />generally we study n-fold commutative hyper K-ideals in simple<br />hyper K-algebras.http://cjms.journals.umz.ac.ir/article_49_50a78a440f61c84e87516e6609fc05e4.pdf