# Boolean ring

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## English[edit]

### Etymology[edit]

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

### Noun[edit]

**Boolean ring** (*plural* **Boolean rings**)

- (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.