Ivan Shishkin, Birch Grove

Algebraically closed field

Definition / General algebra / Stub

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A field KK is algebraically closed if every non-constant polynomial with coefficients in KK has at least one root in KK.

Examples
  • R\R is not algebraically closed, since the polynomial P(X)=X2+1P(X)=X^{2}+1 has no root in R\R.
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