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Math Help - Field Extension

  1. #1
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    Field Extension

    How can I show that there is no finite field extension of $\mathbb C.$
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  2. #2
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    I thought to prove it by contradiction. but then I am having problem to prove it.
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  3. #3
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    Quote Originally Posted by peteryellow View Post
    How can I show that there is no finite field extension of $\mathbb C.$
    Since \mathbb{C} is algebraically closed it has no proper algebraic extension let alone a finite extension.
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