11. Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation MapsHashem Bordbar, Young Bae Jun, Seok Zun Song, 2018, izvirni znanstveni članek 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.
Ključne besede: ideal, I-quasi-valuation map, I-valuation map, quasi-metric
Objavljeno v RUNG: 01.12.2019; Ogledov: 2768; Prenosov: 0
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12. Weak closure operations on ideals of BCK-algebrasHashem Bordbar, 2017, izvirni znanstveni članek Opis: Weak closure operation, which is more general form than closure operation, on ideals of BCK- algebras is introduced, and related properties are investigated. Regarding weak closure operation, finite type and (strong) quasi-primeness are considered. Also positive implicative (resp., commutative and implicative) weak closure operations are discussed.
Ključne besede: weak closure operation of finite type, (quasi-prime, positive implicative, commutative, implica- tive) weak closure operation.
Objavljeno v RUNG: 01.12.2019; Ogledov: 3095; Prenosov: 0
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