Thursday, November 5, 2009

Section 7.5 part 1

Difficult: The most difficult part of this section for me was probably Lagrange's Theorem. I can follow the proof, but it is hard for me to understand the concept. It was always hard for me to understand the concept of congruence in rings with ideals. I can't "picture" it, so I still don't understand what congruence actually means. I think more examples would help me to think about it.

Reflective: It is interesting that the same concepts (like congruence) even extend to groups. I wonder, though, if we will study the left cosets of H in a group G. We have talked all about right cosets, but not yet about left cosets. Do they have similar qualities?

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