The Korean Journal of Mathematics | 2021
On $L$-fuzzy semi-prime ideals of a poset and separation theorems
Abstract
In this paper, the relations between\xa0 $ L $-fuzzy semi-prime (respectively, $ L $-fuzzy prime) ideals of a poset and\xa0 $ L $-fuzzy semi-prime (respectively, $ L $-fuzzy prime) ideals of the lattice of all ideals of a\xa0 poset are established. A result analogous to Separation Theorem is obtained using $ L $-fuzzy semi-prime ideals.