List questions from separable-extension

Published on 23 Feb 2026 - 23:09

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Suppose char$(F) = p$ and $E/F$ with $[E:F] = p$. Then if there is one inseparable element then every element in $E\setminus F$ is inseparable

Published on 23 Feb 2026 - 23:08

50

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Separable and irreducible polynomial over $F$

Published on 23 Feb 2026 - 23:04

201

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seperability field extensions transitive

Published on 10 Apr 2026 - 18:20

254

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Proof of Theorem 4.6 (Primitive Element Theorem) in Lang's Algebra

Published on 23 Feb 2026 - 23:05

87

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Why are these statements about separability equivalent?

Published on 10 Apr 2026 - 13:10

29

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Is there a way to prove theorem $4.1$ about separable degree of S.Lang on page $240$ without using proposition $2.7$?

Published on 23 Feb 2026 - 23:06

67

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Why is this statement about separable degree true?

Published on 11 Apr 2026 - 18:10

62

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Is there a nontrivial but short example where the separable degree is strictly less than the degree of a field extension?

Published on 23 Feb 2026 - 23:08

210

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Chapter 1, Proposition 14 of Lang's number theory - further explanation for normality

Published on 11 Apr 2026 - 20:45

108

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Existence of $p^{th}$ root in an inseparable extension

Published on 23 Feb 2026 - 23:06

94

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$K(u, v) = K(u+v)$ when characteristic of $K=0$?

Published on 23 Feb 2026 - 23:05

52

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Prove that $A$ is a field

Published on 23 Feb 2026 - 23:03

115

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Does anyone know the Reflection method in solving PDEs?

Published on 23 Feb 2026 - 23:02

46

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Last part of a theorem on automorphisms of $\mathbb{F}_q$ in Lang's algebra

Published on 23 Feb 2026 - 23:06

List Question

Separability degree of $\mathbb{Q}(\sqrt{2}, \sqrt[3]{3})/\mathbb{Q}$

Suppose char$(F) = p$ and $E/F$ with $[E:F] = p$. Then if there is one inseparable element then every element in $E\setminus F$ is inseparable

Separable and irreducible polynomial over $F$

seperability field extensions transitive

Proof of Theorem 4.6 (Primitive Element Theorem) in Lang's Algebra

Why are these statements about separability equivalent?

Is there a way to prove theorem $4.1$ about separable degree of S.Lang on page $240$ without using proposition $2.7$?

Why is this statement about separable degree true?

Is there a nontrivial but short example where the separable degree is strictly less than the degree of a field extension?

Chapter 1, Proposition 14 of Lang's number theory - further explanation for normality

Existence of $p^{th}$ root in an inseparable extension

$K(u, v) = K(u+v)$ when characteristic of $K=0$?

Prove that $A$ is a field

Does anyone know the Reflection method in solving PDEs?

Last part of a theorem on automorphisms of $\mathbb{F}_q$ in Lang's algebra

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