Abstract
The notion of tender and naive weak closure operation is introduced, and their relations and properties are investigated. Using a weak closure operation “cl” 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”.
Original language | English |
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Pages (from-to) | 1354-1365 |
Number of pages | 12 |
Journal | Journal of Computational Analysis and Applications |
Volume | 25 |
Issue number | 7 |
State | Published - 2018 |
Keywords
- Ffinite type,Tender,Naive
- Meet ideal
- Relative annihilator
- Weak closure operation
- Zeromeet element