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How to prove R is a field 
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#1
Apr1411, 08:58 PM

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1. The problem statement, all variables and given/known data
Let R be an integral domain and algebraically closed. Prove it follows that R is a field. 3. The attempt at a solution I guess it follows from the definitions but I can't specify which it is 


#2
Apr1411, 09:18 PM

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What property of a field does an integral domain lack? How does being algebraically closed fill that gap?



#3
Apr1511, 08:15 AM

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"Algebraically closed" is "overkill". You really only need a small result that follows from algebraically closed.



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