Thread: Ideals and factor rings

Let W:R->R' be a ring homomorphism and let N be an ideal of R. show that W[N] is an ideal of ImW.

Originally Posted by Ryan0710

Let W:R->R' be a ring homomorphism and let N be an ideal of R. show that W[N] is an ideal of ImW.

Just do it by definition. You need to show that if and then .