Definition:Nilradical of Ring/Definition 1
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Definition
Let $A$ be a commutative ring with unity.
The nilradical of $A$ is the subset consisting of all nilpotent elements of $A$.
Also see
Sources
- 1969: M.F. Atiyah and I.G. MacDonald: Introduction to Commutative Algebra: Chapter $1$: Rings and Ideals: $\S$ Nilradical and Jacobson Radical