Let \(R\) be a commutative ring. The nilradical of \(R\) is the set of nilpotent elements of \(R\): \[ \nilrad{R} \coloneqq \theset{x\in R \suchthat x \text{ is nilpotent}}. \]
Nilradical
D-C2IM4
D-C2IM4
Let \(R\) be a commutative ring. The nilradical of \(R\) is the set of nilpotent elements of \(R\): \[ \nilrad{R} \coloneqq \theset{x\in R \suchthat x \text{ is nilpotent}}. \]