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Homework Help: A question about kernels and commutative rings

  1. Jan 6, 2013 #1
    1. The problem statement, all variables and given/known data

    Number 3.42 in this link:


    The part that I don't understand is...Describe ker ϵ in terms of roots of
    polynomials. Does this just mean "What is the kernel of ϵ?"

    2. Relevant equations

    3. The attempt at a solution

    Is my answer correct (I think it's a bit different from the answer in the doc.)...if not, can you tell me why it is wrong?

    Ker ϵ = {f(x) in R[x] : ϵ(f(x)) = 0} = [tex]\{f(x) \in R[x]: f(x) = 0 +a_1x + a_2x^2+ ... + a_nx^n\}[/tex]

    Thanks in advance
  2. jcsd
  3. Jan 6, 2013 #2
    Please use the already existing thread.
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