1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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:

    http://www.math.wvu.edu/~hjlai/Teaching/Math541-641/Math_541_HW_4_2004.pdf

    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

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    Please use the already existing thread.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: A question about kernels and commutative rings
  1. A question about rings (Replies: 3)

Loading...