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Krasner's Lemma


Krasner's lemma states that if K a complete field with valuation v, K^_ is a fixed algebraic closure of K together with the canonical extension of v, and K^_^^ is its completion with respect to v, then K^_^^ remains algebraically closed.


See also

Non-Archimedean Valuation

This entry contributed by José Gallardo Alberni

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Cite this as:

Alberni, José Gallardo. "Krasner's Lemma." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/KrasnersLemma.html

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