FOLDING THEORY OF IMPLICATIVE/FANTASTIC FILTERS IN LATTICE IMPLICATION ALGEBRAS Jun, Young-Bae; Song, Seok-Zun;
We discuss the n-fold implicative/fantastic filters in lattice implication algebras, which are extended notions of implicative/fantastic filters. Characterizations of n-fold implicative/fantastic filters are given. Conditions for a filter to be n-fold implicative are provided. Extension property for an n-fold fantastic filter is established.