Primeness of Relative Annihilators in BCK-Algebra
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.
lower BCK-semilattice
relative annihilator
semi-prime closure operation
minimal prime decomposition
minimal prime factor
true
true
false
Angleški jezik
Angleški jezik
Delo ni kategorizirano
2020-02-24 09:52:02
2020-02-24 10:55:33
2020-02-25 03:10:50
2020
0
0
11
12
2
2020
0000-00-00
NiDoloceno
NiDoloceno
5574395
URN:SI:UNG:REP:8SCX4ERJ
Univerza v Novi Gorici