Definition:Radical Ideal of Ring

Definition
Let $A$ be a commutative ring with unity.

Let $I$ be an ideal of $A$.

Then $I$ is a radical ideal it is equal to its radical.

Also known as
A radical ideal is also known as a semiprime ideal.

Also see

 * Radical of Ideal of Ring is Closure Operator

Special cases

 * Definition:Square-Free Integer