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1.
Weak closure operations on ideals of BCK-algebras
Hashem Bordbar, 2017, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...Weak closure operation, which is more general form than closure... ...properties are investigated. Regarding weak closure operation, finite type and (strong) quasi-primeness are considered. Also...
Keywords: weak closure operation of finite type, (quasi-prime, positive implicative, commutative, implica- tive) weak closure operation.
Published: 01.12.2019; Views: 2032; Downloads: 0
.pdf Fulltext (629,86 KB)

2.
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... ...zeromeet element, meet ideal, relative annihilator, ( finite type, tender, naive) weak closure operation....
Keywords: zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
Published: 02.12.2019; Views: 1840; Downloads: 0
.pdf Fulltext (648,16 KB)

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