The SlugMath Wiki is under heavy development!

# Def/Nilpotent

Definition of Nilpotent: Suppose that $R$ is a ring, and $x \in R$. We say that $x$ is nilpotent if there exists a natural number $n$, such that $x^n = 0$.

## Logical Connections

This definition logically relies on the following definitions and statements: Def/Ring, Def/Natural number

The following statements and definitions logically rely on the material of this page:

To visualize the logical connections between this definition and other items of mathematical knowledge, you can visit any of the following clusters, and click the "Visualize" tab: Clust/Basic ring theory