Tuesday, February 22, 2011

6.1 part 2, due February 23

  • Difficult: The most difficult thing for me in this section was understanding exactly what I is. Because I is a subring. And so wehn they have things like a is congruent to c (mod I) iff a+I=c+I it doesn't make any sense to me. How can you have a+I? What does that look like? I just can't visualize it. Also, I wasn't sure what a coset was.
  • Reflective: I like that the relation of congruenec modulo I is an equivalence relation. Things always seem to work out nicely when that happens. I also liked the example at the top of pg. 139, that was very easy to understand (unlike most of the examples in this book).

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