| Title: | Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps |
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| Authors: | Bordbar, Hashem (Author)
Jun, Young Bae (Author)
Song, Seok Zun (Author) |
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| Files: | This document has no files. This document may have a phisical copy in the library of the organization, check the status via COBISS.  |
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| Language: | English |
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| Work type: | Not categorized (r6) |
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| Tipology: | 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: | 7, 2 |
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| COBISS_ID: | 5491451 |
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| URN: | URN:SI:UNG:REP:UISMTAFM |
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| DOI: | doi:10.3390/axioms7020026 |
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| License: | 
This work is available under this license: Creative Commons Attribution 4.0 International |
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| Views: | 1950 |
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| Downloads: | 0 |
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