Y.B JUN - Department Of Mathematics Education, Gyeongsang National, University, Jinju ۶۶۰-۷۰۱, Korea
E.H ROH - Department Of Mathematics Education, Chinju National, University Of Education, Jinju ۶۶۰-۷۰۱, Korea
HABIB HARIZAVI - Department Of Mathematics, Faculty of Mathematics Sciences, Shahid Chamran University Of Ahvaz, iran

In this paper we study the smarandache structure in hyper K-algebras and give some conditions for hyper K-algebras and give conditions for hyper K-algebras, product of two hyper K-algebras and union of two hyper K-algebras to be Smarandache hyper K-algebras. Moreover, We introduce the notion of Smarandache hyper ideals in hyper K-algebras, and investigate its properties.

hyper K-algebras, hyper BCK-algebra, Smarandache hyper K-algebras