Hello I just had a quick question about ring homomorphisms.
Is it possible to have a ring isomorphism from $\displaystyle R$ to F, where F is a field but $\displaystyle R$ is not a field?
Thanks guys. I was just confused because in my notes a ring homomorphism was defined from a ring to a field, and then after this was proved to be a ring isomorphism, he showed that the initial ring was actually a field. But this should arise from the fact we have a ring isomorphism. I would type out the specific example but Latex is borked