1. The most difficult part of this reading was that I have never even heard of an ideal before. Most of the time the new terms in this book I have at least heard of so I know that they are important. I have never heard of an ideal so I have no idea where learning about the concept of ideals will take us in this course, so this makes it conceptually very difficult for me to learn about them when I do not know what they purpose it.
2. The most interesting thing in this section was how in order to prove if something is an ideal, you use similar properties as you would in proving something is a subring. That is interesting because when I first read the definition of an ideal, I was not thinking that is was similar to a subring, so I like that there are connections with these new ideas and theorems and that some things in math are similar.
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