Title: | Semiring structures based on meet and plus ideals in lower BCK-semilattices |
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Authors: | ID Bordbar, Hashem (Author) ID Zahedi, Mohammad Mehdi (Mentor) More about this mentor... ID Jun, Young Bae (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 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. |
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Keywords: | Lower BCK-semilattice, meet set, meet ideal, plus ideal, meet operation, addition, semiring. |
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Year of publishing: | 2017 |
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Number of pages: | 945-954 |
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Numbering: | 5, 23 |
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PID: | 20.500.12556/RUNG-4892-8a1250a7-43a8-79bc-30b5-97c11e957575 |
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COBISS.SI-ID: | 5489915 |
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NUK URN: | URN:SI:UNG:REP:AGKKAREE |
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Publication date in RUNG: | 01.12.2019 |
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Views: | 3547 |
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Downloads: | 0 |
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