1. The book is very good at building on stuff it has already done but I feel like it falls short in explaining how these concepts are more abstract. I think it makes sense but it is not exactly clear to me why the quotient ring is any different. It feels we gave a new name and notation to something that already had a name and coefficient.
2. The explanation of theorem 6.8 and definition of addition and multiplication of cosets was very straightforward. Theorem 6.9 seemed trivial and the definition of quotient ring seemed redundant.
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