Let be the set of all Prime Ideals of , and define . Then the Stone space of is the Topological Space defined on by postulating that the sets of the form are a subbase for the open sets.
See also Prime Ideal, Topological Space
Grätzer, G. Lattice Theory: First Concepts and Distributive Lattices.
San Francisco, CA: W. H. Freeman, p. 119, 1971.