Volume 11, Issue 2 (11-2016)
IJMSI 2016, 11(2): 43-55 |
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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.
Type of Study: Research paper |
Subject:
Special
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