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.
Follow Math Help Forum on Facebook and Google+
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 $\displaystyle r\in W[R]$ and $\displaystyle a\in W[N]$ then $\displaystyle ra,ar\in W[N]$.
View Tag Cloud