Boolean ring

English

Etymology

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

Noun

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.

Hypernyms

• linear algebra

See also

• Boolean algebra
• ring sum normal form