Disjunctive inclusion property in pseudo-complemented distributive lattices
Mukkamala Sambasiva Rao · Discussiones Mathematicae - General Algebra and Applications · 2024
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.