21. 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.
Najdeno v: osebi
Ključne besede: Lower BCK-semilattice, meet set, meet ideal, plus ideal, meet operation, addition, semiring.
Objavljeno: 01.12.2019; Ogledov: 1994; Prenosov: 0
 Polno besedilo (3,39 MB) |
22. 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.
Najdeno v: osebi
Ključne besede: Lower BCK-semilattice, relative annihilator, implicative ideal, positive implicative ideal, commutative ideal
Objavljeno: 01.12.2019; Ogledov: 2244; Prenosov: 0
Polno besedilo (207,08 KB) |
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25. Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation MapsHashem 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.
Najdeno v: osebi
Ključne besede: ideal, I-quasi-valuation map, I-valuation map, quasi-metric
Objavljeno: 01.12.2019; Ogledov: 1993; Prenosov: 0
Polno besedilo (261,47 KB) |
26. UNI-SOFT IDEALS IN CORESIDUATED LATTICESHashem Bordbar, 2018, izvirni znanstveni članek Opis: The notion of the uni-soft idea is introduced, and related properties are investigated. Characterizations of the uni-soft ideal are discussed. The transfer of uni-soft ideal is considered, and relations between the uni-soft ideal and its transfer are investigated. Given a soft set, conditions for the transfer of soft set to be a uni-soft ideal.
Najdeno v: osebi
Ključne besede: Coresiduated lattice, uni-soft ideal, transfer, support.
Objavljeno: 15.10.2020; Ogledov: 1676; Prenosov: 0
Polno besedilo (630,37 KB) |
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29. 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.
Najdeno v: osebi
Ključne besede: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Objavljeno: 02.12.2019; Ogledov: 1988; Prenosov: 0
Polno besedilo (648,16 KB) |
30. A Generalization of Semidetached Subalgebras in BCK∕BCI-algebrasYoung Bae Jun, Mohammad Rahim Bordbar, Hashem Bordbar, 2019, izvirni znanstveni članek Opis: Generalization of the paper [Y. B. Jun and S. Z. Song, Semidetached subalgebras in BCK∕BCI-algebras, to appear in Bulletin of the Korean Mathematical Society] is discussed. Several conditions for a semidetached structure in BCK∕BCI-algebras to be a semidetached subalgebra are provided. The concepts of (∈¯,∈¯∨qk¯)-fuzzy subalgebra, k-left (k-right) (qk,∈∨qk)-fuzzy subalgebra, (qk¯,∈¯∨qk¯)-fuzzy subalgebra and (∈¯∨qk¯,∈¯∨qk¯)-fuzzy subalgebra are introduced, and relative relations and properties are discussed.
Najdeno v: osebi
Ključne besede: ð2, 2_qkÞ-fuzzy subalgebra, k-left (k-right) ðqk, 2_qkÞ-fuzzy subalgebra, ð 2 _ qk, 2 _ qk Þ-fuzzy subalgebra, semidetached structure, semidetached subalgebra.
Objavljeno: 02.12.2019; Ogledov: 1978; Prenosov: 0
Polno besedilo (190,65 KB) |
