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2. WEAK CLOSURE OPERATIONS WITH SPECIAL TYPES IN LOWER BCK-SEMILATTICESHashem Bordbar, Young Bae Jun, 2017, izvirni znanstveni članek Opis: The notions of (strong) quasi prime mapping on the set of all ideals, t- type weak closure operation, and tender (resp., naive, sheer, feeble tender) weak closure operation are introduced, and their relations and properties are investigated. Conditions for a weak closure operation to be of t-type are provided. Given a weak closure operation, conditions for the new weak closure operation to be of t-type and to be a naive (sheer, feeble tender) weak closure operation are considered. We show that the new weak closure operation is the smallest tender weak closure operation containing the given weak closure operation. Ključne besede: (strong) quasi prime mapping, t-type weak closure operation, naive (sheer, tender, feeble tender) weak closure operation. Objavljeno v RUNG: 02.12.2019; Ogledov: 3822; Prenosov: 0 Gradivo ima več datotek! Več... |
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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: 3665; Prenosov: 0 Gradivo ima več datotek! Več... |
5. 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: 4028; Prenosov: 0 Gradivo ima več datotek! Več... |