Repozitorij Univerze v Novi Gorici

Iskanje po repozitoriju
A+ | A- | Pomoč | SLO | ENG

Iskalni niz: išči po
išči po
išči po
išči po
* po starem in bolonjskem študiju

Opcije:
  Ponastavi


21 - 30 / 2762
Na začetekNa prejšnjo stran12345678910Na naslednjo stranNa konec
21.
Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2018, izvirni znanstveni članek

Opis: Relations between I-quasi-valuation maps and ideals in BCK/BCI -algebras are investigated. Using the notion of an I-quasi-valuation map of a BCK/BCI-algebra, the quasi-metric space is induced, and several properties are investigated. Relations between the I-quasi-valuation map and the I-valuation map are considered, and conditions for an I-quasi-valuation map to be an I-valuation map are provided. A congruence relation is introduced by using the I-valuation map, and then the quotient structures are established and related properties are investigated. Isomorphic quotient BCK/BCI-algebras are discussed.
Ključne besede: ideal, I-quasi-valuation map, I-valuation map, quasi-metric
Objavljeno: 01.12.2019; Ogledov: 48; Prenosov: 0
.pdf Polno besedilo (261,47 KB)

22.
A new type of hesitant fuzzy subalgebras and ideals in BCK/BCI-algebras
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2017, izvirni znanstveni članek

Opis: The concept of a hesitant union (
Ključne besede: Hesitant union, ∪-hesitant fuzzy subalgebra, ∪-hesitant fuzzy ideal
Objavljeno: 01.12.2019; Ogledov: 58; Prenosov: 0
.pdf Polno besedilo (89,38 KB)

23.
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: 01.12.2019; Ogledov: 58; Prenosov: 0
.pdf Polno besedilo (629,86 KB)

24.
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: 01.12.2019; Ogledov: 46; Prenosov: 0
.pdf Polno besedilo (194,69 KB)

25.
A Finite type Closure Operations on BCK-algebras
Hashem 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: 01.12.2019; Ogledov: 62; Prenosov: 0
.pdf Polno besedilo (257,89 KB)

26.
Semiring structures based on meet and plus ideals in lower BCK-semilattices
Hashem 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: 01.12.2019; Ogledov: 49; Prenosov: 0
.pdf Polno besedilo (3,39 MB)

27.
Neutrosophic Quadruple BCK/BCI-Algebras
Hashem Bordbar, Young Bae Jun, Florentin Smarandache, Seok-zun Song, 2018, izvirni znanstveni članek

Opis: The notion of a neutrosophic quadruple BCK/BCI number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a closed ideal in a neutrosophic quadruple BCI-algebra are studied. Given subsets A and B of a BCK/BCI-algebra, the set NQ(A,B) , which consists of neutrosophic quadruple BCK/BCI-numbers with a condition, is established. Conditions for the set NQ(A,B) to be a (positive implicative) ideal of a neutrosophic quadruple BCK-algebra are provided, and conditions for the set NQ(A,B) to be a (closed) ideal of a neutrosophic quadruple BCI-algebra are given. An example to show that the set {0˜} is not a positive implicative ideal in a neutrosophic quadruple BCK-algebra is provided, and conditions for the set {0˜} to be a positive implicative ideal in a neutrosophic quadruple BCK-algebra are then discussed.
Ključne besede: neutrosophic quadruple BCK/BCI-number, neutrosophic quadruple BCK/BCI-algebra, neutrosophic quadruple subalgebra, (positive implicative) neutrosophic quadruple ideal
Objavljeno: 01.12.2019; Ogledov: 57; Prenosov: 0
.pdf Polno besedilo (284,81 KB)

28.
Relative annihilators in lower BCK-semilattices
Hashem 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: 01.12.2019; Ogledov: 59; Prenosov: 0
.pdf Polno besedilo (207,08 KB)

29.
Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras
Hashem Bordbar, Florentin Smarandache, Young Bae Jun, G Muhiuddin, 2018, izvirni znanstveni članek

Opis: Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal. The re- lation between (∈, ∈)-neutrosophic ideal and (∈, ∈)-neutrosophic subalgebra in a BCK-algebra is discussed. Conditions for an (∈∈)-neutrosophic subalgebra to be a (∈, ∈)-neutrosophic ideal are provided. Using a collection of ideals in a BCK/BCI-algebra, an (∈, ∈)-neutrosophic ideal is established. Equivalence relations on the family of all (∈, ∈)-neutrosophic ideals are introduced, and re- lated properties are investigated.
Ključne besede: (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal.
Objavljeno: 01.12.2019; Ogledov: 62; Prenosov: 0
.pdf Polno besedilo (6,02 MB)

30.
Uni-Soft Commutative Ideals and Closed Uni-Soft Ideals in BCI-Algebras
Hashem Bordbar, Young Bae Jun, Rajab ali Borzooei, 2018, izvirni znanstveni članek

Opis: The notions of uni-soft commutative ideals and closed uni-soft ideals in BCI-algebras are introduced, and related properties are investigated. Conditions for a uni-soft ideal to be closed are provided. Relations between a uni-soft ideal and a uni-soft commutative ideal are investigated. Conditions for a uni-soft ideal to be a uni-soft commutative ideal are provided. A new uni-soft commutative ideal from an old one is constructed.
Ključne besede: Exclusive set, (closed) uni-soft ideal, uni-soft commutative ideal.
Objavljeno: 01.12.2019; Ogledov: 56; Prenosov: 0
.pdf Polno besedilo (291,26 KB)

Iskanje izvedeno v 0 sek.
Na vrh