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1.
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.
Najdeno v: ključnih besedah
Povzetek najdenega: ...to be a (positive implicative, commutative, implicative) ideal are discussed. The meet ideal based on...
Ključne besede: Lower BCK-semilattice, meet set, meet ideal, plus ideal, meet operation, addition, semiring.
Objavljeno: 01.12.2019; Ogledov: 1697; Prenosov: 0
.pdf Polno besedilo (3,39 MB)

2.
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: ključnih besedah
Povzetek najdenega: ...zero meet element, meet ideal, relative annihilator, (finite type,...
Ključne besede: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Objavljeno: 02.12.2019; Ogledov: 1667; Prenosov: 0
.pdf Polno besedilo (648,16 KB)

3.
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.
Najdeno v: ključnih besedah
Povzetek najdenega: ...non-zeromeet element, meet ideal, relative annihilator, semi-prime (resp., meet) weak closure...
Ključne besede: non-zeromeet element, meet ideal, relative annihilator, semi-prime (resp., meet) weak closure operation.
Objavljeno: 02.12.2019; Ogledov: 1687; Prenosov: 0
.pdf Polno besedilo (267,87 KB)

4.
Homomorphic Image and Inverse Image of Weak Closure Operations on Ideals of BCK-Algebras
Hashem Bordbar, 2020, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...zero meet element, meet ideal, relative annihilator, semi-prime map,...
Ključne besede: zeromeet element, meet ideal, relative annihilator, semi-prime map, meet map, (semi-prime, meet) weak closure operation
Objavljeno: 21.04.2020; Ogledov: 1564; Prenosov: 0
.pdf Polno besedilo (221,66 KB)

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