Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation MapsBordbar, Hashem (Avtor)
Jun, Young Bae (Avtor)
Song, Seok Zun (Avtor)
idealI-quasi-valuation mapI-valuation mapquasi-metricRelations 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.20182019-12-01 23:09:51Delo ni kategorizirano4902COBISS_ID: 5491451DOI: doi:10.3390/axioms7020026NUK URN: URN:SI:UNG:REP:UISMTAFMsl