For risk of sounding obvious, I think the most important topics we have covered are rings. What constitutes a ring, types of rings, and special additional qualities rings can have.I really need to do some more review of definitions. I think that is the most vital aspect of this test will be keeping all of the definitions straight in my mind and memorizing examples of different rings.
I expect to see a bunch of questions mainly about how to show or prove something is or is not a ring or a certain type of ring. I would love to see a proof showing something being a commutative, and integral domain, a field, with identity. Essentially I just need to see another round of proving all of these properties. I am very worried about this exam because I don't think I've committed the necessary items to memory and instead have been using my notes extensively for assistance on homework.
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