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.
Stone Space
See also
Prime Ideal, Topological SpaceExplore with Wolfram|Alpha
References
Grätzer, G. Lattice Theory: First Concepts and Distributive Lattices. San Francisco, CA: W. H. Freeman, p. 119, 1971.Referenced on Wolfram|Alpha
Stone SpaceCite this as:
Weisstein, Eric W. "Stone Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StoneSpace.html