Algebraically Closed

A field K is said to be algebraically closed if every polynomial with coefficients in K has a root in K.

See also

Algebraic Closure, Field

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References

Dummit, D. S. and Foote, R. M. "Splitting Fields and Algebraic Closures." §13.4 in Abstract Algebra, 3rd ed. Hoboken, NJ: Wiley, pp. 536-544, 2004.

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Algebraically Closed

Cite this as:

Weisstein, Eric W. "Algebraically Closed." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AlgebraicallyClosed.html

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