| Naslov: | Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps |
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| Avtorji: | ID Bordbar, Hashem (Avtor)
ID Jun, Young Bae (Avtor)
ID Song, Seok Zun (Avtor) |
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| Datoteke: |
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Delo ni kategorizirano |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | UNG - Univerza v Novi Gorici
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| Opis: | 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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| Ključne besede: | ideal, I-quasi-valuation map, I-valuation map, quasi-metric |
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| Leto izida: | 2018 |
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| Št. strani: | 11 |
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| Številčenje: | 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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| Datum objave v RUNG: | 01.12.2019 |
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| Število ogledov: | 3684 |
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| Število prenosov: | 0 |
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| Metapodatki: |    |
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