Thursday, March 22, 2012

Section 7.8, March 22 2012

Difficult:

This section was a little more confusing than past sections. A couple of concepts were more difficult for me to grasp. I do not know what is meant by the fact that the kernel measures how far the homomorphism f is from being injective. That does not make any sense to me. I do not understand the concept of "how far" when dealing with numbers in abstract algebra.

Reflective:

I know that a lot of what we are learning about groups is supposed to connect with what we have already learned about rings. But I am having a difficult time making that connection. It is a wonderful thing that they can connect in such logical ways, but that connection is hard to make. I think part of it has to do with all the new names and notation. But other than that this new material is great!

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