3.3, due January 26

I've seen the term 'isomorphism" before in some of my other math and math ed classes, but the term "homomorphism" was new to me.  I was a little surprised to see that being isomorphic depended on a bijective function.   It makes sense that it does, but my understanding of isomorphisms was minimal and I  thought two things were said to be isomorphic if they were similar properties like how triangles are similar in angle size.  A bijective function requires this to be true; it's a stronger more sophisticated way of putting it. One question I had while reading was is an isomorphism a function or something like a set or a ring?  THe book uses noth terms but I wasn't srue how to think about it.My first thought about homomorphisms was that they would be different than an isomorphism, but they aren't.  Every isomorphism is a homomorphism, but just a square is a rectangle and a rectangle is not a square, not every homomorphism is not an isomorphism.  Conviently when proving that something is an isomorphism, you prove that it is an homomorphism.