1. I was a little confused by Theorem 3.5 (7) because on Friday's homework we found a 1r=0 so how would -1ra=-a? Oh, well by looking at that proof I got it.
2. I liked the idea that these principles could be applied to any ring. It seems powerful. Also all the proofs were very straightforward. I liked Theorem 3.6 for checking if a subset was a subring because Theorem 3.2 seemed like too much stuff to remember.
p.s. The homework assignment due Friday was a little excessive. I do not think it was necessary to do addition and multiplication tables for three separate Cartesian products. After two, maybe even one, it was busy work.
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