| 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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| 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: | 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: | 3616 |
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| Downloads: | 0 |
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