TY - JOUR
T1 - On Direct Sum of Branches in Hyper BCK-algebras
TT -
JF - IJMSI
JO - IJMSI
VL - 11
IS - 2
UR - http://ijmsi.ir/article-1-441-en.html
Y1 - 2016
SP - 43
EP - 55
KW - Hyper BCK-algebra
KW - (weak
KW - strong) hyper BCK-ideal
KW - Direct sum of branches
KW - Hyper BCK-chain.
N2 - 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 $mid Aut(H)mid=1$.
M3 10.7508/ijmsi.2016.02.003
ER -