Difficult: There are lots of definitions to memorize in this section, but they are all pretty straight forward. I just don't get the "1R not equal to 0R" in the definition for an integral domain and a field. So {0R} isn't an integal domain or a field. Is that all it means?
Reflective: So now that we have a definition for a ring, so what? What does a ring do for us? Now I know why we learned about primes in modular arithmetic. They're important. For example, the integers mod p when p is prime is a field.
Thursday, January 15, 2009
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