Separable extension

This article defines a field extension property: a property that can be evaluated to true/false for any field extension.
View a complete list of field extension properties|View a complete list of field properties

Definition

Symbol-free definition

A field extension is termed separable if, for any algebraic element in the extension, the minimal polynomial is a separable polynomial.

Relation with other properties

Stronger properties

• Galois extension

Opposite properties

• Purely inseparable extension