nLab algebraic element

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Contents

Definition

Given a field KK and a field extension KFK \subseteq F, an element αF\alpha \in F is algebraic if the subfield K(α)FK(\alpha) \subseteq F is a finite-degree field extension of KK.

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See also

Created on February 22, 2024 at 18:54:28. See the history of this page for a list of all contributions to it.