algebraically closed

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Adjective

1. {{lb|en|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).
2. {{lb|en|algebra|group theory|of a [[group]]}} Such that any finite set of [[equation]]s and [[inequation]]s has a solution.

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