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Authors:Bordbar, Hashem (Author)
zahdi, mohammad mehdi (Mentor) More about this mentor... New window
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Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
Abstract:In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover, by giving some examples, we show that the given different notions are independent together, for instance, there is a semi-prime closure operation, which is not a good semi-prime. Finally by given the notion of “cf-Max X”, we prove that every member of “cf-Max X” is a prime ideal. Also, we conclude some more related results.
Keywords:BCI-algebra, BCK-algebra, closure operation, finite type closure operation, semi-prime closure operation.
Year of publishing:2015
Number of pages:385-402
Numbering:30, 4
COBISS_ID:5490427 Link is opened in a new window
License:CC BY 4.0
This work is available under this license: Creative Commons Attribution 4.0 International
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Title:Communications of the Korean Mathematical Society
Year of publishing:2015