Section 3.2

Difficult: I found it a little difficult to understand why subtraction can be used to prove that a subset of a ring is a subring. It's really interesting that part one of Theorem 3.6 accounts for 3 parts of Theorem 3.2, and this was difficult for me to understand at first because I had trouble seeing the connection between the 3 parts of Thm 3.2 and subtraction.

Reflective: I think it's interesting that rings have so many properties in common with the integers. I am looking forward to learning more about fields because I think that they have a lot of interesting properties, and seeing how those properties relate to rings in general.