1. The most difficult part about this reading was what exactly some of the terms meant because I really had never seen them before or some of them at least I felt were not adequately defined. For example, a nonzero constant polynomial (or a unit) is really confusing to me. I mean, I get what it is, but I had a hard time recognizing them and doing the homework properly because I don't really get what units are in polynomials. The book's definition wasn't good enough. Also, on the homework, we are to prove something about a unique monic associate, and that is in section 4.3, and I have no idea what that is. I used context clues from the problem 1 and its answer, but I still don't understand it enough to use it in a proof.
2. I really like Theorem 4.11 is cool because I love theorems that consistent of 3 or more equivalent statements. Those types of theorems are cool and make writing proofs fun and easy because you can apply whichever equivalent statement fits the proof best. So I like adding another group of equivalent statements to my mathematics knowledge.
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