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Title:Tender and naive weak closure operations on lower BCK-semilattices.
Authors:Bordbar, Hashem (Author)
Jun, Young Bae (Mentor) More about this mentor... New window
Song, Seok Zun (Co-mentor)
Ahn, Sun Shin (Author of abstract)
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Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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.
Keywords:zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Year of publishing:2018
Number of pages:1354-1365
Numbering:25, 7
COBISS_ID:5492731  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:Journal of Computational Analysis & Applications
Year of publishing:2018