1. The most difficult part to understand was probably the proof of Corollary 2.5. I had always just assumed that all the equivalence classes were unique, but I guess that needed to be proved just like everything else we learn in this class. Even that proof wasn't too hard; this section's material doesn't seem to be very difficult.
2. This section's material is mostly things I have learned before, in Math 290 and in other books. I'm looking forward to learning about other examples of rings.
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