In a 0-distributive lattice sufficient conditions for an -ideal to be an annihilator ideal and prime ideal to be an -ideal are given. Also it is proved that the images and the inverse images of -ideals are -ideals under annihilator preserving homomorphisms.
The concept of -ideals is introduced in a pseudo-complemented distributive lattice and some properties of these ideals are studied. Stone lattices are characterized in terms of -ideals. A set of equivalent conditions is obtained to characterize a Boolean algebra in terms of -ideals. Finally, some properties of -ideals are studied with respect to homomorphisms and filter congruences.