Definition:Nilradical of Ring

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

Also denoted as
Some sources use $N \left({A}\right)$ or $\mathfrak N$.

Also see

 * Equivalence of Definitions of Nilradical of Ring (which uses the axiom of choice)
 * Definition:Jacobson Radical

Generalizations

 * Definition:Radical of Ideal of Ring