Well, this reading was slightly more difficult on a conceptual level than the previous readings. It was a little difficult to wrap my mind around the idea of adding and multiplying whole congruence classes instead of integers.
Over the Christmas break and in preparation for this class, I started reading up on group theory. One thing that I noticed in reading section 2.2 is that addition and multiplication of congruence classes can be used to define a group on Z_n.
Sunday, January 11, 2009
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Ok actually I realize that a group cannot be defined with congruence class multiplication since it does not contain inverses for all classes.
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