Definition:Perfect Field/Definition 1

Definition

Let $F$ be a field.

$F$ is a perfect field if and only if $F$ has no inseparable extensions.

Also see

• Equivalence of Definitions of Perfect Field
• Frobenius Endomorphism on Field is Injective
• Definition:Separably Closed Field, a field with no separable extensions

Examples

• Galois Field is Perfect
• Algebraically Closed Field is Perfect

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