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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. Abstract Algebra, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, p. 455, 1998.

Referenced on Wolfram|Alpha

Algebraically Closed

Cite this as:

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

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