Difficult:
I think I understand the overall idea of rings, but I am still having difficulty completely understanding how to prove that something is a ring. Particularly axiom 4 and 5 of the definition. I understand the concept that there needs to be a solution to a+0=a=0. But the subtext in the text book throws me off. I do not completely understand that.
Reflective:
I like the overall concept of abstract algebra. From the book I liked the sentence that said that "By 'abstracting' the common core of essential features, we can develop a general theory that includes as special cases Z, Z (sub n) and other familiar systems. I like the idea of simply relating systems by what they have in common to make the process more simple. I am excited to learn more in abstract algebra, I just hope that it doesn't get too abstract. :)
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