Boolean Ring

In mathematics, a Boolean ring R is a ring for which x2 = x for all x in R; that is, R consists only of idempotent elements.

A Boolean ring is essentially the same thing as a Boolean algebra, with ring multiplication corresponding to conjunction or meet ∧, and ring addition to exclusive disjunction or symmetric difference (not disjunction ∨).

Read more about Boolean Ring:  Notations, Examples, Relation To Boolean Algebras, Properties of Boolean Rings

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