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Ok so my question is motivated by the theory of Lie algebras, and seeing as I'm not that familiar with a lot of group theoretic notions, just the basics really, my question is as follows. What can be said about a fields characteristic if we know that it is algebraically closed? Cheers

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Nothing because any field has got an algebraic closure i.e., an extension $\mathbb{K}\subset\mathbb{L}$ such that $\mathbb{L}$ is algebraically closed and obviously the two fields have the same characteristic.

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