Thread: Prove that J is an ideal.

1. Prove that J is an ideal.

Let I be an ideal in a commutative ring R and let
J = {r belongs to R | r^n belongs to I for some positive integer n}.

Prove that J is an ideal that contains I.

2. Originally Posted by Deepu
Let I be an ideal in a commutative ring R and let
J = {r belongs to R | r^n belongs to I for some positive integer n}.

Prove that J is an ideal that contains I.
Once again let's see some work friend. I have seen none and I've seen zip, nadda.