1. The most difficult part of this reading was the Theorems. I didnt quite understand what exactly the Fundamental Principle of Arithmetic was saying. I couldn't understand the proof cause I didt know what was being proved. Other theorems that were challenging for me to understand was Theorem 2.3.2 and 2.3.4. What is a UFD? how does it apply to F[x] in Thm 2.3.5?
2. The only part of this section that I understood was Lemma 2.3.1, Euclid's Lemma, and Corollary 2.3.1.