| Title: | Primeness of Relative Annihilators in BCK-Algebra |
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| Authors: | ID Bordbar, Hashem, University of Nova Gorica (Author)
ID Mihuddin, G., University of Tabuk (Author of additional text)
ID Alanazi, Abdulaziz, University of Tabuk (Author of abstract) |
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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: | Conditions that are necessary for the relative annihilator in lower BCK-semilattices to be a prime ideal are discussed. Given the minimal prime decomposition of an ideal A, a condition for any prime ideal to be one of the minimal prime factors of A is provided. Homomorphic image and pre-image of the minimal prime decomposition of an ideal are considered. Using a semi-prime closure operation “cl”, we show that every minimal prime factor of a cl-closed ideal A is also cl-closed. |
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| Keywords: | lower BCK-semilattice, relative annihilator, semi-prime closure operation, minimal prime decomposition, minimal prime factor |
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| Year of publishing: | 2020 |
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| Number of pages: | 11 |
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| Numbering: | 2, 12 |
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| PID: | 20.500.12556/RUNG-5047-7391a406-6eb4-34cb-0a5a-b9e3a31f1a9c |
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| COBISS.SI-ID: | 5574395 |
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| NUK URN: | URN:SI:UNG:REP:8SCX4ERJ |
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| Publication date in RUNG: | 24.02.2020 |
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| Views: | 2730 |
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| Downloads: | 0 |
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