Difficult: I am having a hard time understanding Theorem 6.3, and why this type of set is an ideal. It seems to me like you could multiply the largest number (because the set is finite) by any element of R and have an element that is not in the set, so therefore it is not an ideal, so I don't think I understand exactly what the theorem is saying.
Reflective: I think it's interesting that there is another set of numbers that have even more properties than rings and fields. I am interested to know what other properties ideals have and how we will use them.
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