- #1
Spartan Math
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Okay, so I'm trying to finish of a problem on integral closure and I am rather unsure if the following fact is true:
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.
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.