Tender and naive weak closure operations on lower BCK-semilattices

Hashem Bordbar, Sun Shin Ahn, Seok Zun Song, Young Bae Jun

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 languageEnglish
Pages (from-to)1354-1365
Number of pages12
JournalJournal of Computational Analysis and Applications
Volume25
Issue number7
StatePublished - 2018

Keywords

  • Ffinite type,Tender,Naive
  • Meet ideal
  • Relative annihilator
  • Weak closure operation
  • Zeromeet element

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