The most difficult part of this material for me was connecting our past versions of prime with this new version and then using this new version in different proofs and things. It just takes me some time to adjust to the new use of prime and visualize it. It was also a little difficult for me to follow the proof of Thrm. 6.15.
The most interesting part of this material to me was the fact that R/P may not always be a field when P is prime. It's interesting to me how when you get more general, certain properties don't always apply. Yet this principle can also be true as you get more specific.
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