1. I was pretty confused with the first section of this chapter. They give us an example with four elements, GF(4) = {0,1,w,w^2} and the laws
1. 0 + x = x
2. x + x = 0
3. 1 * x = x
4. w+1 = w^2
I guess I'm just a little confused. Is this in a mod2? mod4? Or is it its own mod? Also what is the notation GF(4)? Maybe it was said in a different chapter, but I don't remember reading about it. They use the same notation later in 3.11 as well, but I don't understand what it's supposed to mean.
2. I am using division with functions right now in my number theory class, as well as teaching it to my students for math 110. It's kind of funny how I'm doing it in three different places! It makes it a little easier to understand after doing it three times in one day. Hopefully this section won't be too hard.
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