1. What was the most difficult part of the reading for you?
I am kind of confused by the idea of the "extension field". If I just blindly accept it, and follow the reading, I understand it's significance and can see why it's important to building complex numbers, but.... the whole a=[x] and plugging that in for each class kind of blew my mind a little. Mostly, watching x^2+x+1 becoming [x]^2+[x]+1 then equaling zero was kind of... crazy.
2. Where I stand
Honestly, I struggled with the 5.1 homework a bunch. I am really not struggling with any of the correlation between Zn and these [f(x)] classes and such, but I struggle to remember all of the theorems and corollaries for everything. Mostly they confuse me. Also, I am kind of having a hard time accepting the fact that [x+1] isn't the same as [2x+2] in Z[x] or Q[x] or whatever. Does that make sense? Why aren't monics important here?
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