Section 3.2, due on September 17

The most difficult part of this section for me is remembering what can and can't be assumed for different rings. I also had difficulty following the proof for theorem 3.11. In this section in particular there is so much manipulating of equations, that at first it is hard to see where they are going or why they are doing what they do. This makes it a little confusing and hard to follow at times. The term "unit" is also new and confused me a little because I would always call a unit just a number with a multiplicative inverse.

The most interesting part of this material for me was Theorem 3.6. I found it interesting that just by having multiplication and subtraction that the process of showing that S is a subring of R is reduced down to 2 steps. I also found the relationships between integral domains and fields to be hard to follow, but really interesting at the same time.