3.1 part 1, due on September 12

1.  One thing that was difficult for me was understanding integral domains.  Are there any fairly simple examples of integral domains that aren't fields?  There were good examples of everything else in the textbook (noncommutative ring with identity, commutative ring without identity, noncommutative ring without identity, and field), but not of integral domains.

(After I wrote this, I realized that Z itself is an integral domain that's not a field.  Silly me.)

2. It was really interesting to try to wrap my brain around the example on pages 43-44.  It's the kind of example that you wouldn't expect to have any nice properties just from looking at the operations, but it does.