On Direct Sum of Branches in Hyper BCK-algebras

author

  • H. Harizavi Department of Mathematics, Shahid Chamran University
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 $mid Aut(H)mid=1$.

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Journal title

volume 11  issue None

pages  43- 55

publication date 2016-11

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