I am having a very hard time with a general concept of proving something. If I have some arbitrary function mapping one ring, let's say R, to another ring, S, and want to prove that R is isomorphic to S, then I need to show that there exists a bijective homomorphism between R and S. But how do I do this if I don't know explicitly what f is? In general, how does one show that two things are isomorphic without a function?(adsbygoogle = window.adsbygoogle || []).push({});

It seems a lot easier in linear algebra with vector spaces since one can often make some kind of dimension argument, but I don't know what to do in the abstract algebra case.

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# Isomorphism between rings?

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