Section 3.3, due on September 20

The most difficult part of this material for me was following the isomorphisms from a set a integers modulo n, to a Cartestian product. I also found it hard to comprehend exactly what was being described by isomorphism and homomorphism. I think that I understand, but this was a new idea for me and sort of difficult to follow. I am also finding that many of the past couple of theorems are very similar to past theorems as they both deal with certain properties that allows something to be defined as it is. It has been a little difficult to try and keep all of these straight in my mind.

The most interesting part of this material was the fact that certain properties are preserved after isomorphisms. For some reason I just thought that was a really cool concept. It serves as a good analogy for many other aspects in life. I also thought that structure being preserved from one ring to another was a cool concept in general. It reminded me of chemistry classes I have taken where sometimes certain reactions will preserve properties of elements, while other times things aren't preserved at all.