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Interior BCK/BCI-algebrasSun Shin Ahn,
Hashem Bordbar,
Young Bae Jun, 2021, izvirni znanstveni članek
Opis: The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related properties are investigated. A mapping is provided to the set of all involutions of a bounded BCK-algebra in relation to any interior BCKalgebra so that the set of all involutions of a bounded BCK-algebra can be an interior BCK-algebra. The relationship between interior ideals, weak interior ideals, and positive implicative interior ideals is established. The conditions under which a weak interior ideal can change to an interior ideal are founded. The conditions for an interior ideal to be a positive implicative interior ideal are provided. The scalability for a positive implicative interior ideal is discussed. The relationship between type 1, type 2, and type 3 on positive implicative weak interior ideals are investigated. The relationship between weak interior ideal and positive implicative weak interior ideal of type 1, type 2, and type 3 are established.
Ključne besede: interior BCK/BCI-algebras, positive implicative interior, BCK-algebras, (weak) interior ideals, positive implicative interior ideals
Objavljeno v RUNG: 21.07.2021; Ogledov: 2595; Prenosov: 47
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