Editing Boolean ring (section)

== Examples ==
One example of a Boolean ring is the [[power set]] of any set {{math|''X''}}, where the addition in the ring is [[symmetric difference]], and the multiplication is [[intersection (set theory)|intersection]]. As another example, we can also consider the set of all [[finite set|finite]] or cofinite subsets of {{math|''X''}}, again with symmetric difference and intersection as operations. More generally with these operations any [[field of sets]] is a Boolean ring. By [[Stone's representation theorem for Boolean algebras|Stone's representation theorem]] every Boolean ring is isomorphic to a [[field of sets]] (treated as a ring with these operations).