A Finite type Closure Operations on BCK-algebras
In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the intersection and union (by imposing some additional conditions) of closure operations is a closure operation and every closure operation is a finite type on any finitely generated ideal. Moreover by given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related results.
2016
2019-12-01 01:11:32
1033
BCI-algebra, BCK-algebra, closure operation, finite type closure operation.
r6
Hashem
Bordbar
70
Mohammad Mehdi
Zahedi
991
COBISS_ID
3
5490171
DOI
15
10.18576/amisl/040204
NUK URN
18
URN:SI:UNG:REP:XPQYXM1J
Printed_one.pdf
264081
Predstavitvena datoteka
2019-12-01 01:11:47