Section 3.2, Due on January 23

Part I: What was the most difficult part of the material to you?

The most difficult part was understanding the proof with theorem 3.6. It was hard for me too see the connections from this theorem to Theorem 3.2 and I think if the book had made it more organized rather than used numbers to relate back to statements, I would understand it better. Hopefully in class it will make more sense as to how only those 2 statements in Theorem 3.6 are needed to prove a subring rather that the 4 statements in Theorem 3.2.

Part II: Write something reflective about the reading.

I really like the definition at the end of this section about what a zero divisor is because the real numbers and the integers do not have a zero divisor but the integers mod six have one  and so many others. For most of this section, it kept showing how the integers and rings have so many common properties, but at the end they were different properties. Connecting these properties from the integers into other rings seem too easy at first because these properties are so second nature, but the zero divisor is easier to see the importance because it isn't in the integer.