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4. Tender and naive weak closure operations on lower BCK-semilattices.Hashem Bordbar, 2018, izvirni znanstveni članek Opis: The notion of tender and naive weak closure operation is introduced, and their relations and properties are investigated. Using a weak closure operation "d" and an ideal A of a lower BCK-semilattice X with the greatest element 1, a new ideal K of X containing the ideal Acl of X is established. Using this ideal K, a new function clt : I(X) → I(X); A → K is given, and related properties are considered. We show that if "cl" is a tender (resp., naive) weak closure operation on I(X), then so are "clt" and clf. Ključne besede: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation. Objavljeno v RUNG: 02.12.2019; Ogledov: 3642; Prenosov: 0 Gradivo ima več datotek! Več... |
5. Relative annihilators in lower BCK-semilatticesHashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2017, izvirni znanstveni članek Opis: As a generalization of annihilators, the notion of a relative annihilator is introduced, and their properties are investigated. Conditions for a relative annihilator to be an implicative (resp., positive implicative, commutative) ideal are discussed. Ključne besede: Lower BCK-semilattice, relative annihilator, implicative ideal, positive implicative ideal, commutative ideal Objavljeno v RUNG: 01.12.2019; Ogledov: 3877; Prenosov: 0 Gradivo ima več datotek! Več... |
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