Difference between revisions of "Algebraically closed"
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| − | + | In [[abstract algebra]], a [[field]] is said to be '''algebraically closed''' if any nonconstant [[polynomial]] with [[coefficient]]s in the field also has a [[root]] in the field. The field of [[complex number]]s, denoted <math>\mathbb{C}</math>, is a well-known example of an algebraically closed field. | |
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[[Category:Field theory]] | [[Category:Field theory]] | ||
Latest revision as of 17:17, 12 March 2014
In abstract algebra, a field is said to be algebraically closed if any nonconstant polynomial with coefficients in the field also has a root in the field. The field of complex numbers, denoted 
, is a well-known example of an algebraically closed field.
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