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Tender and naive weak closure operations on lower BCK-semilattices
- Authors
- Bordbar, H.; Ahn, S.S.; Song, S.-Z.; Jun, Y.B.
- Issue Date
- 2018
- Publisher
- Eudoxus Press, LLC
- Keywords
- Ffinite type,Tender,Naive; Meet ideal; Relative annihilator; Weak closure operation; Zeromeet element
- Citation
- Journal of Computational Analysis and Applications, v.25, no.7, pp 1354 - 1365
- Pages
- 12
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 25
- Number
- 7
- Start Page
- 1354
- End Page
- 1365
- ISSN
- 1521-1398
1572-9206
- 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”. © 2018 by Eudoxus Press, LLC. All rights reserved.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)