| Title: | SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA |
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| Authors: | ID Bordbar, Hashem (Author)
ID zahdi, mohammad mehdi (Mentor) More about this mentor...  |
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| Files: |
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| 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. |
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| Keywords: | BCI-algebra, BCK-algebra, closure operation, finite type closure operation, semi-prime closure operation. |
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| Year of publishing: | 2015 |
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| Number of pages: | 385-402 |
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| Numbering: | 4, 30 |
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| PID: | 20.500.12556/RUNG-4891-2ac5543c-12c8-0756-7e82-f00d38b48022 |
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| COBISS.SI-ID: | 5490427 |
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| NUK URN: | URN:SI:UNG:REP:QNO5NHH6 |
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| Publication date in RUNG: | 01.12.2019 |
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| Views: | 2699 |
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| Downloads: | 0 |
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