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Math Help - Ideals and factor rings

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    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.
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    Quote Originally Posted by Ryan0710 View Post
    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 r\in W[R] and a\in W[N] then ra,ar\in W[N].
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