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:: Volume 11, Issue 2 (11-2016) ::
IJMSI 2016, 11(2): 43-55 Back to browse issues page
On Direct Sum of Branches in Hyper BCK-algebras
H. Harizavi

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.
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Type of Study: Research | Subject: Special
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DOI: 10.7508/ijmsi.2016.02.003

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Harizavi H. On Direct Sum of Branches in Hyper BCK-algebras. IJMSI. 2016; 11 (2) :43-55
URL: http://ijmsi.ir/article-1-441-en.html
Volume 11, Issue 2 (11-2016) Back to browse issues page
نشریه علوم ریاضی و انفورماتیک Iranian Journal of Mathematical Sciences and Informatics
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