Monday, January 24, 2011

3.3, Due January 26

Difficult:
I'm not sure if I understand why we even care about rings being isomorphic. It was strange to see the + and x tables of Z10 written "out of order" from what we would originally do, but I could understand why they chose to do it that way. However, what do we get from 2 things being isomorphic? Why does it matter that Z5 and Z10 are isomorphic?

Reflective:
This particular section brought up a few mathematical ideas that I haven't seen for a while, namely surjection, bijection, and image. I only vaguely remembered those concepts, so I ended up having to go look those definitions up again!

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