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1.
Tender and naive weak closure operations on lower BCK-semilattices.
Hashem Bordbar, 2018, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...notion of tender and naive weak closure operation is introduced, and their relations and properties...
Keywords: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Published: 02.12.2019; Views: 1823; Downloads: 0
.pdf Fulltext (648,16 KB)

2.
Semi-prime and meet weak closure operations in lower BCK-semilattices
Hashem Bordbar, Mohammad Mehdi Zahedi, 2017, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...notion of semi-prime (resp., meet) weak closure operation is introduced and related properties are investigated....
Keywords: non-zeromeet element, meet ideal, relative annihilator, semi-prime (resp., meet) weak closure operation.
Published: 02.12.2019; Views: 1822; Downloads: 0
.pdf Fulltext (267,87 KB)

3.
Homomorphic Image and Inverse Image of Weak Closure Operations on Ideals of BCK-Algebras
Hashem Bordbar, 2020, original scientific article

Found in: ključnih besedah
Summary of found: ...ideal, relative annihilator, semi-prime map, meet map, (semi-prime, meet) weak closure operation...
Keywords: zeromeet element, meet ideal, relative annihilator, semi-prime map, meet map, (semi-prime, meet) weak closure operation
Published: 21.04.2020; Views: 1720; Downloads: 0
.pdf Fulltext (221,66 KB)

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