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Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation MapsHashem Bordbar,
Young Bae Jun,
Seok Zun Song, 2018, original scientific article
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.
Found in: ključnih besedah
Keywords: ideal, I-quasi-valuation map, I-valuation map, quasi-metric
Published: 01.12.2019; Views: 1995; Downloads: 0
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