Boolean ring

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

Boolean ring (plural Boolean rings)

1. (algebra) 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.

• linear algebra

• Boolean algebra
• ring sum normal form