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Title:Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps
Authors:ID Bordbar, Hashem (Author)
ID Jun, Young Bae (Author)
ID Song, Seok Zun (Author)
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Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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.
Keywords:ideal, I-quasi-valuation map, I-valuation map, quasi-metric
Year of publishing:2018
Number of pages:11
Numbering:2, 7
PID:20.500.12556/RUNG-4902-aa60fe10-fc19-b733-2f19-7afe210d7f68 New window
COBISS.SI-ID:5491451 New window
DOI:doi:10.3390/axioms7020026 New window
Publication date in RUNG:01.12.2019
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Year of publishing:2018


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:01.12.2019