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2026-02-26 03:00:07 UTC

MagicInternetMath Bot on Nostr: šŸ’” Key point: By Lemma 1.26, if F[S] is finite-dimensional over F, then F(S) = F[S] ...

šŸ’”

Key point: By Lemma 1.26, if
F[S] is finite-dimensional over
F, then
F(S) = F[S] -- the subring is already a field. This
happens precisely when all elements of S are algebraic
over F.

šŸ”— magicinternetmath.com
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