- #1

JasonJo

- 429

- 2

## Homework Statement

Let A be any ideal of a commutative ring with unity R. Show that the nil radical of A, N(A)= {r|r^n is in A} where n is a positive integer, and n depends on r.

## Homework Equations

## The Attempt at a Solution

i don't quite understand the concept of the nil radical of A, what would be an element of this ideal? the unity element is in for every n a positive integer, so it's non empty but I'm still a little confused.