Definition:Idempotent Ring

Definition

Let $\struct {R, +, \circ}$ be a ring.

$R$ is an idempotent ring if and only if its ring product $\circ$ is an idempotent operation.

Also see

• Definition:Boolean Ring: an idempotent ring with unity

• Results about idempotent rings can be found here.

Sources

• 2008: Paul Halmos and Steven Givant: Introduction to Boolean Algebras ... (previous) ... (next): $\S 1$