Usually means: All polynomial equations have solutions.
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We found 5 dictionaries that define the word algebraically closed:

General (2 matching dictionaries)
  1. algebraically closed: Wiktionary
  2. Algebraically closed: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. Algebraically closed: Encyclopedia

Science (2 matching dictionaries)
  1. Algebraically Closed: Eric Weisstein's World of Mathematics
  2. algebraically closed: PlanetMath Encyclopedia

Definitions from Wiktionary (algebraically closed)

adjective:  (algebra, field theory, of a field) Which contains as an element every root of every nonconstant univariate polynomial definable over it (i.e., over said field).
adjective:  (algebra, group theory, of a group) Such that any finite set of equations and inequations has a solution.

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