We're hopping around a bit now. Book E is back to rings and fields.
I'm falling behind rather severely with the study at the moment. Needless to say, the panic plus the speed with which I needed to work through this chapter meant that a lot of the information in this chapter didn't settle in my brain in the way I needed it to.
First section was on fields of fractions (which I'm still not terribly clear on). Second section was introducing the concept of an ideal of a ring, followed by operations on ideals. Lastly, the fourth section was on quotients and was the one that introduced homomorphisms between rings, and explained how images and kernels relate to ideals of rings.
Okay. Calm the panic.
Very very quickly jumping on to the next section...