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Homework Help: Interpretation of Question

  1. Sep 21, 2009 #1
    1. The problem statement, all variables and given/known data

    Let F_4 = {0,1,a,b} be a field containing four elements. Assume that 1 + 1 = 0. Prove that [tex] b = a^{-1} = a^2 = a + 1 [/tex].
    2. Relevant equations

    3. The attempt at a solution

    Do I assume that 0, 1, a, and b are al distinct elements? If so, then I can prove the question.
  2. jcsd
  3. Sep 22, 2009 #2


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    Homework Helper

    Yes, they are all distinct elements.

    Let F4 = {0,1,a,b} be a field containing four elements.

    That means, the 4 elements 0, 1, a, and b of the field F4 are of course, distinct. :)
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