On Direct Sum of Branches in Hyper BCK-algebras

Author(s):

H. Harizavi

Abstract:
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 $mid Aut(H)mid=1$.
Keywords:

Hyper BCK , algebra , (weak , strong) hyper BCK , ideal , Direct sum of branches , Hyper BCK , chain

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:11 Issue: 2, Nov 2016
Pages:
43 to 55
https://www.magiran.com/p1601374