Wednesday, December 9, 2009

Final Blog, due Dec. 8

From looking at the review sheet I know that the concept of prime and maximal ideals is something that I would like to go over. Also, the concept of extension fields. I know that I need to work on better understanding quotient rings and quotient fields and some problems regarding these topics would be helpful. I think it would help to have a couple of examples of these quotient rings/fields and then describe them together (sort of like on our test).
Also, examples of different cyclic, non-integral domain etc. examples of rings/groups/fields would be helpful to me as this is a section on the tests that is always difficult for me. I also had a question: on the review sheet there are lots of theorems we should know well and I was wondering if that is the same list of theorems that we need to be able to prove.

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