6.1 part 1, due February 22

• Difficult: This chapter actually made a surprising amount of sense. I guess the most difficult thing for me is actually visualizing an ideal. Because even though I could tell you what one should be like, I don't know if I could actually recognize or create one. I look forward to examples in class.
• Reflective: Theorem 6.1 states that if a,b in I, then a-b in I. But if both a,b are in I, then that means that a,b, have a common factor, right? Just like in the first example where it was mod 3. If a,b in I, then a-b=3(c-d)=3(e) so of course c-d 3e would be in I, so a-b is in I. I'm I thinking of this correctly?