Thursday, October 27, 2016

Half of 7.1, due on October 28

Several times during the semester, I have been looking online for explanations to topics we are covering only to read proofs and listen to explanations of rings using group theory. They will say something like "a ring is just an abelian group with these extra properties" or "we can tell that such and such is an abelian group and thus..." Finally after reading the first part of this section I understand a little bit better what they were talking about and I am glad that the axioms of a group are fewer in number and as easy to understand as ring properties.

I understood most of the reading, which was a nice change from the last chapter. It was a little confusing from the diagrams at first that we do the right function first and then the left function but it makes sense when you think about it. The only other thing that got me was the symmetric group and the order of Sn. I think I misunderstood that part or just plain didn't understand it.

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