Review for test due Oct 20

I think ideals and quotient rings (and basically all of chapter 6) will be the most important topics that we have studied that will be on this test.

Ironically, I feel most uneasy about quotient rings. It seems like there is a lot to know about them (even though it is really only covered in one section) or at least a lot that can be proven from them, thus, it is necessary to study this more intensely for the test.

The question I would like worked out in class comes from 6.3 #11: Show that the principal ideal (x-1) in Z[x] is prime but not maximal.