The hardest thing I found in the reading today was the last theorem of the section, theorem 9.31. I had to read it a couple of times before I understood what it was saying. And I still don't exactly why theorem matters. The book didn't seem too excited about it and din't offer any examples or anything.
The thing I reflected on most was how to use this same rigorous process to define fields of quotients on other integral domains besides Z. Like polynomial rings, congruence class rings and some of the more abstract quotient rings.
Friday, February 27, 2009
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