Tender and naive weak closure operations on lower BCK-semilattices.
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.
2018
2019-12-02 03:16:36
1033
zeromeet element, meet ideal, relative annihilator, (finite type, tender, naive) weak closure operation.
r6
Hashem
Bordbar
70
Young Bae
Jun
991
Seok Zun
Song
994
Sun Shin
Ahn
913
COBISS_ID
3
5492731
NUK URN
18
URN:SI:UNG:REP:7EEOXORQ
JOCAAA-2018-VOL-25-7-2.pdf
663717
Predstavitvena datoteka
2019-12-02 03:17:43