Named after George Boole (1815–1864), an English mathematician, educator, philosopher and logician.
- (algebra) A ring whose multiplicative operation is idempotent.
- Let be the ring of integers and let be its ideal of even integers. Then the quotient ring is a Boolean ring.
- By Stone's Representation Theorem, the elements of a Boolean ring can be modeled as sets, with the additive operation corresponding to symmetric difference, and the multiplicative operation to set intersection.