Okay, so I'm trying to finish of a problem on integral closure and I am rather unsure if the following fact is true:(adsbygoogle = window.adsbygoogle || []).push({});

If L embeds into an algebraically closed field K and F is an algebraic extension of L, then it is possible to extend the embedding of L to F into K.

Now the case where F is a finite extension of L is true, but not quite so sure about the infinite case.

Thoughts would be appreciated.

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# Homomorphisms into an Algebraically Closed Field

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