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An Isomorphism

  1. Oct 1, 2008 #1
    I'm lost and don't even know where to start.

    Let F = Z mod 2, show F[x]/<x^3+X+1> and F[x]/<x^3+X^2+1> are isomorphic.

    I guess fist I need help understanding what those two factor rings look like and what elements they contain.
  2. jcsd
  3. Oct 1, 2008 #2


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    The easiest way would be to notice that both are 8-element fields.
  4. Oct 2, 2008 #3
    I tried but I couldn't find them, what are the eight?
  5. Oct 2, 2008 #4


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    Which ones did you find?
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