Suppose $R$ and $S$ are integral domains. And let $\phi:R[x]\longrightarrow S[x]$ be an isomorphism between their polynomial rings. Is it possible that $\phi|_R$, the restriction of the isomorphism to $R$, is not an ismorphism between $R$ and $S$?
2026-03-29 06:28:40.1774765720
Isomorphism between polynomial rings and its restriction
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