The most difficult part of this material for me was tying to follow and understand what exactly is meant by the First Isomorphism Theorem and trying to understand all of its implications. I am not sure I fully grasp all that is going on with the homorphic image and the kernel and such and how it is all so closely related to ideals and quotient rings. I guess I don't really understand the structure of R/K.
The most interesting par of this material was the relationship all of this has to the things learned in Linear Algebra. Although I don't think I fully understand the homomorphic image concept, I did think it was really interesting when they compared it to photography. I found this an interesting comparison. It makes me wonder about how accurate the way we see things really is and how much of the exact structure we miss by simply observing things with our eyes.
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