Friday, January 23, 2009

3.3 Due January 23

The hardest part of the reading for me was visualing some of the examples. For example, thinking of homomorphic rings that aren't isomorphic was a little difficult at first until I realized that the image of the function is a subring of the codomain and that the function is either injective or surjective. Also, I still can't think of any properties that are not preserved by isomorphism.

I think that the concept of isomorphism will make working with rings easier, especially rings constructed from finite sets. Because if the set is finite, there must also be a finite number of distinct, non-isomorphic rings from sets of the same order.

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