Section 3.3: Analysis

Isomorphisms and Homomorphisms are very interesting. Essentially the idea is that between two rings one can map one ring to another. Hungerford mentions how difficult it can be to find a function that accurately describes the relationĀ if you think that the rings may be isomorphic. I wonder how you can tell if one may be isomorphic, if there are patterns or something that may give that indication. The example Hungerford gives is obvious, but selecting two different rings without such obvious similarities would make it much more challenging. I wonder if there is a proven way to analyze the difference between the rings so that one may properly create a function to map one ring to another.

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