bn:02988298n
Noun Concept
Categories: Field extensions
EN
separable extension  inseparable degree  inseparable extension  Inseparable field extension  Separable algebraic extension
EN
In field theory, a branch of algebra, an algebraic field extension E / F {\displaystyle E/F} is called a separable extension if for every α ∈ E {\displaystyle \alpha \in E}, the minimal polynomial of α {\displaystyle \alpha } over F is a separable polynomial. Wikipedia
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EN
In field theory, a branch of algebra, an algebraic field extension E / F {\displaystyle E/F} is called a separable extension if for every α ∈ E {\displaystyle \alpha \in E}, the minimal polynomial of α {\displaystyle \alpha } over F is a separable polynomial. Wikipedia
A finite (and thereby algebraic) extension of a base field such that every element of the extension is the root of a separable polynomial over the base field. Wiktionary
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