Primeness of Relative Annihilators in BCK-Algebra
Conditions that are necessary for the relative annihilator in lower BCK-semilattices to be a prime ideal are discussed. Given the minimal prime decomposition of an ideal A, a condition for any prime ideal to be one of the minimal prime factors of A is provided. Homomorphic image and pre-image of the minimal prime decomposition of an ideal are considered. Using a semi-prime closure operation “cl”, we show that every minimal prime factor of a cl-closed ideal A is also cl-closed.
2020
2020-02-24 09:52:02
1033
lower BCK-semilattice, relative annihilator, semi-prime closure operation, minimal prime decomposition, minimal prime factor
r6
Hashem
Bordbar
70
G.
Mihuddin
80
Abdulaziz
Alanazi
913
COBISS_ID
3
5574395
URN
14
URN:SI:UNG:REP:8SCX4ERJ
symmetry-12-00286-v2.pdf
274388
Predstavitvena datoteka
2020-02-24 10:14:08