More precisely, let $F_1, F_2$ be fields, and we have none zero homomorphisms $f: F_1 \to F_2$ and $g: F_2 \to F_1$ (actually both are monomorphism since $F_1, F_2$ are fields), is there a possibility that $F_1$ is not isomorphic to $F_2$?
from Hot Weekly Questions - Mathematics Stack Exchange
DarkGlimmer
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