pseudo-complemented distributive lattice; dense element; closed element; $\delta$-ideal; Stone lattice; congruence
The concept of $\delta$-ideals is introduced in a pseudo-complemented distributive lattice and some properties of these ideals are studied. Stone lattices are characterized in terms of $\delta$-ideals. A set of equivalent conditions is obtained to characterize a Boolean algebra in terms of $\delta$-ideals. Finally, some properties of $\delta$-ideals are studied with respect to homomorphisms and filter congruences.
 Birkhoff, G.: Lattice Theory
. Colloquium Publications, vol. 25, Amer. Math. Soc., New York, 1948. MR 0029876
| Zbl 0033.10103
 Speed, T. P.: Two congruences on distributive lattices
. Bull. Soc. Roy. Sci. Liège 38 (3–4) (1969), 86–95. MR 0245489
| Zbl 0176.28504