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Math Help - Prove something is an ideal

  1. #1
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    Prove something is an ideal

    If I is an ideal in R, is I[x] (polynomials with coefficients in I) an ideal in the polynomial ring R[x]?
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  2. #2
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    Quote Originally Posted by iwonde View Post
    If I is an ideal in R, is I[x] (polynomials with coefficients in I) an ideal in the polynomial ring R[x]?

    Yes, and the proof is trivial. Try it.

    Tonio
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  3. #3
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    Quote Originally Posted by tonio View Post
    Yes, and the proof is trivial. Try it.

    Tonio
    I'm sorry to mention this but I don't see how this is shown. Can anyone prove this?
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