6.1 Part 2

1. What was the most difficult part of the reading for you?
I'll be very specific. I think I'm savvy on most of this reading, but the basic part where I think they were summing some important stuff up on page 140 (at the top) kind of lost me. Maybe it's the notation, or... I don't know. But this "coset" stuff is a bit confusing to me. It makes sense that there would be congruence classes, but.... I don't know. I guess that's just how I feel. It's late.

2. Why is 2+I=[2] a congruence class in the principal ideal 3?
Alright, so 3=0(mod I) since 3=3k in I, and [3]={...-6,-3,0,3,6,...). So, 2=5(modI) and -3=2-5=3k.... I think this makes sense. Wait, does it make sense? I think so, but.... oh whatever. What a pathetic blog.