1. I do not understand what a coset is. It does not make sense to me. I do not see why we need to write a congruence class as a + I for it to be the formal symbol. It is just confusing me.
2. It is interesting that all the properties with mods and being an equivalence relation are applied to an ideal. I figured that would have been trivial and obvious. So it is interesting that the book goes through specific theorems and proofs to show how things work in mod I.
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