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Simple ring, maximal ideal

  1. May 18, 2010 #1
    1. The problem statement, all variables and given/known data
    how that N is a maximal ideal in a ring R if and only if R/N is a simple ring. that is it is nontrivial and has no proper nontrivial ideals.

    2. Relevant equations

    3. The attempt at a solution
    I don't know how to start. Please help.
  2. jcsd
  3. May 19, 2010 #2
    Hint: if you have an ideal in R/N, what do you get by taking its inverse image under the quotient map?
  4. May 19, 2010 #3
    it is R?
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