Boolean ring

Etymology
Named after (1815–1864), an English mathematician, educator, philosopher and logician.

Noun

 * 1)  A ring whose multiplicative operation is idempotent.
 * From the defining idempotency property of a Boolean ring it is possible to prove that such ring has to have the further properties that each element is its own inverse and that such ring must be commutative.

Hypernyms

 * linear algebra