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
Famous quotes containing the word ring:
“Roll unmanly over this turning tuft,
O ring of seas, nor sorrow as I shift
From all my mortal lovers with a starboard smile....”
—Dylan Thomas (1914–1953)
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