Title: | Tender and naive weak closure operations on lower BCK-semilattices. |
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Authors: | ID Bordbar, Hashem (Author) ID Jun, Young Bae (Mentor) More about this mentor... ID Song, Seok Zun (Comentor) ID Ahn, Sun Shin (Author of resume) |
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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: | The notion of tender and naive weak closure operation is introduced, and their relations and properties are investigated. Using a weak closure operation "d" and an ideal A of a lower BCK-semilattice X with the greatest element 1, a new ideal K of X containing the ideal Acl of X is established. Using this ideal K, a new function clt : I(X) → I(X); A → K is given, and related properties are considered. We show that if "cl" is a tender (resp., naive) weak closure operation on I(X), then so are "clt" and clf. |
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Keywords: | zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation. |
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Publication version: | Version of Record |
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Year of publishing: | 2018 |
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Number of pages: | 1354-1365 |
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Numbering: | 7, 25 |
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PID: | 20.500.12556/RUNG-4906-7a3c5f1c-43fc-2ad8-518e-2db70463f329 |
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COBISS.SI-ID: | 5492731 |
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NUK URN: | URN:SI:UNG:REP:7EEOXORQ |
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Publication date in RUNG: | 02.12.2019 |
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Views: | 3415 |
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Downloads: | 0 |
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