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Title:Semiring structures based on meet and plus ideals in lower BCK-semilattices
Authors:Bordbar, Hashem (Author)
Zahedi, Mohammad Mehdi (Mentor) More about this mentor... New window
Jun, Young Bae (Co-mentor)
Ahn, Sun Shin (Author of abstract)
Files:This document has no files. This document may have a phisical copy in the library of the organization, check the status via COBISS. Link is opened in a new window
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
Abstract:The notion of the meet set based on two subsets of a lower BCK-semilattice X is introduced, and related properties are investigated. Conditions for the meet set to be a (positive implicative, commutative, implicative) ideal are discussed. The meet ideal based on subsets, and the plus ideal of two subsets in a lower BCK-semilattice X are also introduced, and related properties are investigated. Using the meet operation and addition, the semiring structure is induced.
Keywords:Lower BCK-semilattice, meet set, meet ideal, plus ideal, meet operation, addition, semiring.
Year of publishing:2017
Number of pages:945-954
Numbering:23, 5
COBISS_ID:5489915 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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Year of publishing:2017