📚 adj • entry_id 49604
algebraically closed
Meanings (ES + gloss)
algebraicamente cerrado
Which contains as an element every root of every nonconstant univariate polynomial definable over it (i.e., over said field).
Definition. A field is algebraically closed when it satisfies the equivalent conditions in Proposition 4.1. #92;square For instance, the fundamental theorem of algebra (Theorem III…
The fundamental theorem of algebra states that the field of complex numbers, #92;mathbb#123;C#125;, is algebraically closed.
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