%0 Journal Article %A Harizavi, H. %T On Direct Sum of Branches in Hyper BCK-algebras %J Iranian Journal of Mathematical Sciences and Informatics %V 11 %N 2 %U http://ijmsi.ir/article-1-441-en.html %R 10.7508/ijmsi.2016.02.003 %D 2016 %K Hyper BCK-algebra, (weak, strong) hyper BCK-ideal, Direct sum of branches, Hyper BCK-chain., %X In this paper, the notion of direct sum of branches in hks is introduced and some related properties are investigated. Applying this notion to lower hyper $BCK$-semi lattice, a necessary condition for a hi to be prime is given. Some properties of hkc are studied. It is proved that if $H$ is a hkc and $[a)$ is finite for any $ain H$, then $mid Aut(H)mid=1$. %> http://ijmsi.ir/article-1-441-en.pdf %P 43-55 %& 43 %! %9 Research paper %L A-10-468-1 %+ Department of Mathematics, Shahid Chamran University %G eng %@ 1735-4463 %[ 2016