1. Internal and external cubic subalgebras of BCK/BCI-algebrasHashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2021, izvirni znanstveni članek Opis: A characterization of cubic subalgebra is established. The notion of
internal and external cubic subalgebra in BCK\BCI-algebra, and several properties
are investigated. The R-union, R-intersection, P-union, and P-intersection of internal
and external cubic subalgebras in BCK=BCI-algebra are discussed. Ključne besede: subalgebra, internal cubic subalgebra, external cubic subalgebra Objavljeno v RUNG: 07.04.2021; Ogledov: 2717; Prenosov: 0 Gradivo ima več datotek! Več... |
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: 3823; Prenosov: 0 Gradivo ima več datotek! Več... |
3. |
4. IDEALS OF IS-ALGEBRAS BASED ON N-STRUCTURESHashem Bordbar, Mohammad Mehdi Zahedi, Young Bae Jun, 2018, izvirni znanstveni članek Opis: The notion of a left (resp., right) NI-ideal is introduced, and related properties are investigated. Characterizations of a left (resp., right) NI-ideal are considered. Translations of a left (resp., right) NI-ideal are studied. We show that the homomorphic image (preimage) of a left (resp., right) NI-ideal is a left (resp., right) NI-ideal. The notion of retrenched left (resp., right) NI-ideals is introduced, and their properties are investigated. Ključne besede: Left (resp., right) NI-ideal, translation, closed support, retrenched left (resp., right) NI-ideal. Objavljeno v RUNG: 02.12.2019; Ogledov: 3392; 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... |
6. A Finite type Closure Operations on BCK-algebrasHashem Bordbar, 2016, izvirni znanstveni članek Opis: In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the intersection and union (by imposing some additional conditions) of closure operations is a closure operation and every closure operation is a finite type on any finitely generated ideal. Moreover by given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related results. Ključne besede: BCI-algebra, BCK-algebra, closure operation, finite type closure operation. Objavljeno v RUNG: 01.12.2019; Ogledov: 3536; Prenosov: 0 Gradivo ima več datotek! Več... |
7. Semiring structures based on meet and plus ideals in lower BCK-semilatticesHashem Bordbar, 2017, izvirni znanstveni članek Opis: The notion of the meet set based on two subsets of a lower BCK-semilattice X is introduced, and related properties are investigated. Conditions for the meet set to be a (positive implicative, commutative, implicative) ideal are discussed. The meet ideal based on subsets, and the plus ideal of two subsets in a lower BCK-semilattice X are also introduced, and related properties are investigated. Using the meet operation and addition, the semiring structure is induced. Ključne besede: Lower BCK-semilattice, meet set, meet ideal, plus ideal, meet operation, addition, semiring. Objavljeno v RUNG: 01.12.2019; Ogledov: 3547; Prenosov: 0 Gradivo ima več datotek! Več... |
8. 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: 3891; Prenosov: 0 Gradivo ima več datotek! Več... |