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2.
Homomorphic Image and Inverse Image of Weak Closure Operations on Ideals of BCK-Algebras
Hashem Bordbar, 2020, izvirni znanstveni članek

Ključne besede: zeromeet element, meet ideal, relative annihilator, semi-prime map, meet map, (semi-prime, meet) weak closure operation
Objavljeno v RUNG: 21.04.2020; Ogledov: 2955; Prenosov: 0
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3.
Primeness of Relative Annihilators in BCK-Algebra
Hashem Bordbar, 2020, izvirni znanstveni članek

Opis: Conditions that are necessary for the relative annihilator in lower BCK-semilattices to be a prime ideal are discussed. Given the minimal prime decomposition of an ideal A, a condition for any prime ideal to be one of the minimal prime factors of A is provided. Homomorphic image and pre-image of the minimal prime decomposition of an ideal are considered. Using a semi-prime closure operation “cl”, we show that every minimal prime factor of a cl-closed ideal A is also cl-closed.
Ključne besede: lower BCK-semilattice, relative annihilator, semi-prime closure operation, minimal prime decomposition, minimal prime factor
Objavljeno v RUNG: 24.02.2020; Ogledov: 2993; Prenosov: 0
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4.
WEAK CLOSURE OPERATIONS WITH SPECIAL TYPES IN LOWER BCK-SEMILATTICES
Hashem 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: 3116; Prenosov: 0
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5.
Semi-prime and meet weak closure operations in lower BCK-semilattices
Hashem Bordbar, Mohammad Mehdi Zahedi, 2017, izvirni znanstveni članek

Opis: The notion of semi-prime (resp., meet) weak closure operation is introduced and related properties are investigated. Characterizations of a semi-prime (resp. meet) closure operation are discussed. Examples show that the notion of semi-prime weak closure operation is independent of the notion of meeting weak closure operation.
Ključne besede: non-zeromeet element, meet ideal, relative annihilator, semi-prime (resp., meet) weak closure operation.
Objavljeno v RUNG: 02.12.2019; Ogledov: 2969; Prenosov: 0
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6.
Weak closure operations on ideals of BCK-algebras
Hashem 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: 3368; Prenosov: 0
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7.
SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA
Hashem Bordbar, 2015, izvirni znanstveni članek

Opis: In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover, by giving some examples, we show that the given different notions are independent together, for instance, there is a semi-prime closure operation, which is not a good semi-prime. Finally by given the notion of “cf-Max X”, we prove that every member of “cf-Max X” is a prime ideal. Also, we conclude some more related results.
Ključne besede: BCI-algebra, BCK-algebra, closure operation, finite type closure operation, semi-prime closure operation.
Objavljeno v RUNG: 01.12.2019; Ogledov: 2939; Prenosov: 0
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8.
The non-commuting graph of a non-central hypergroup
Mahdiyeh Iranmanesh, Morteza Jafarpour, Irina Elena Cristea, 2019, izvirni znanstveni članek

Ključne besede: (semi)hypergroup, Hamiltonian graph, planar graph
Objavljeno v RUNG: 20.09.2019; Ogledov: 3087; Prenosov: 0
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9.
A fuzzy application of the group Z_n to complete hypergroups
Irina Elena Cristea, Elhan Hassani Sadrabadi, Bijan Davvaz, 2019, izvirni znanstveni članek

Ključne besede: complete hypergroup, intuitionistic fuzzy set, Wieferich prime
Objavljeno v RUNG: 12.06.2019; Ogledov: 3554; Prenosov: 0
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10.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Elena Cristea, 2020, izvirni znanstveni članek

Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Objavljeno v RUNG: 28.02.2019; Ogledov: 3591; Prenosov: 0
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