Complete system of prime ideals

Definition
Let $$R$$ be a commutative unital ring. A collection of prime ideals in $$R$$ is termed a complete system of prime ideals for $$R$$ if $$R$$ is the intersection of its localizations at each of these prime ideals.

Facts
The collection of all maximal ideals is complete for any ring. . We can imagine this intersection as being performed in the total quotient ring.