# Interpretation of Question

1. Sep 21, 2009

### JG89

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 $$b = a^{-1} = a^2 = a + 1$$.
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. Sep 22, 2009

### VietDao29

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. :)