Consider an extension $K/F$. Suppose $S \subset K$ such that $S$ is algebraically independent over $F$. Prove that each $s \in S$ is transcendental over $F(S-\{s\})$.
How do I prove this claim? Any help will be appreciated.
2026-03-24 20:31:54.1774384314
A question about transcendental extensions
19 Views Asked by user910011 https://math.techqa.club/user/user910011/detail AtRelated Questions in FIELD-THEORY
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