1. I think I am getting lost in the notation - for example, Theorem 7.4 has a lot of notation going on that makes it a little more confusing to understand compared to something like Theorem 7.1 or 7.2. I think I am alright on everything else though.
2. When I read Theorem 7.2, I kind of thought of the set U of all units in R as a universal union - it seems like this concept comes up a lot in mathematics, especially in 290 and 341. It is interesting to see how properties from one mathematics transfers to other mathematics, which in turn unites them all!
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