Difficult: I am having trouble understanding Theorem 6.13, the First Isomorphic Theorem. I am probably still misunderstanding quotient rings, so I don't get why R/K is surjective to S if f: R --> S is a surjective homomorphism.
Reflective: In linear algebra, we briefly discussed kernels, and they make more sense this time, although I am still somewhat unclear about this whole section. I think they are an interesting concept though, and it will be interesting to learn more about what properties they have and how they can be used.
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