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:
“I like well the ring of your last maxim, “It is only the fear of death makes us reason of impossibilities.” And but for fear, death itself is an impossibility.”
—Henry David Thoreau (1817–1862)