If a polynomial ring is finite free over a subring, is the subring polynomial? – mathoverflow.net

If a polynomial ring is finite free over a subring, is the subring polynomial? – mathoverflow.net

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Let $R = k[x_1, \ldots, x_n]$ for $k$ a field of characteristic zero and let $S \subset R$ be a graded sub-$k$-algebra (for the standard grading: $\deg x_i = 1$) such that $R$ is a free $S$-module of ...

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