Hashem Bordbar (Author), Sun Shin Ahn (Author), Seok-Zun Song (Author), Young Bae Jun (Author)

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.

Keywords

zeromeet element;meet ideal;relative annihilator;weak closure operation;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UNG - University of Nova Gorica
UDC: 51
COBISS: 5492731 Link will open in a new window
ISSN: 1521-1398
Parent publication: Journal of computational analysis and applications
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Other data

URN: URN:SI:UNG
Type (COBISS): Not categorized
Pages: str. 1354-1365
Volume: ǂVol. ǂ25
Issue: ǂno. ǂ7
Chronology: 2018
ID: 11316053