1. Did we ever do a THIRD ISOMORPHISM THEOREM FOR IDEALS? Because I know we did a FIRST one for ideals, so 7.42 does not look very new - 7.43 does however. This section is full of pretty intense proofs that I am not at all positive I would know how to prove on my own. Most likely I will have to for the test though!
2. I liked Theorem 7.45. It deals with the integers(mod p) where p is a prime. I think primes have a lot of very unique and interesting applications that have shown up a lot over the course of this course.
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