1. Not finding help here? Sign up for a free 30min 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!

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

    VietDao29

    User Avatar
    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. :)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook