Give an example of fields $k \subset K \subset L$ and $l \subset L$ for which $l/k$ and $L/K$ are algebraic, $k$ is algebraically closed in $K$, and $lK=L$ , but $l$ is not algebraically closed in $L$.
Difficulty in figuring out an example.
2026-03-29 07:29:16.1774769356
$k$ is algebraically closed in $K$, and $lK=L$ , but $l$ is not algebraically closed in $L$.
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