DISJUNCTIVE INCLUSION PROPERTY IN PSEUDO-COMPLEMENTED DISTRIBUTIVE LATTICES.

Disjunctive inclusion property of several prime ideals and prime filters of pseudo-complemented lattices is studied. Algebraic structures like Boolean algebras and Stone lattices are characterized with the help of the disjunctive inclusion property of prime ideals and prime filters. A set of equivalent conditions is given for every Stone lattice to become a Boolean algebra. [ABSTRACT FROM AUTHOR]