| Title: | Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps |
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| Authors: | ID Bordbar, Hashem (Author)
ID Jun, Young Bae (Author)
ID Song, Seok Zun (Author) |
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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: | Relations between I-quasi-valuation maps and ideals in BCK/BCI
-algebras are investigated. Using the notion of an I-quasi-valuation map of a BCK/BCI-algebra, the quasi-metric space is induced, and several properties are investigated. Relations between the I-quasi-valuation map and the I-valuation map are considered, and conditions for an I-quasi-valuation map to be an I-valuation map are provided. A congruence relation is introduced by using the I-valuation map, and then the quotient structures are established and related properties are investigated. Isomorphic quotient BCK/BCI-algebras are discussed. |
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| Keywords: | ideal, I-quasi-valuation map, I-valuation map, quasi-metric |
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| Year of publishing: | 2018 |
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| Number of pages: | 11 |
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| Numbering: | 2, 7 |
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| PID: | 20.500.12556/RUNG-4902-aa60fe10-fc19-b733-2f19-7afe210d7f68 |
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| COBISS.SI-ID: | 5491451 |
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| DOI: | doi:10.3390/axioms7020026 |
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| NUK URN: | URN:SI:UNG:REP:UISMTAFM |
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| Publication date in RUNG: | 01.12.2019 |
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| Views: | 3683 |
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| Downloads: | 0 |
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