List questions from separable-extension

Published on 04 Nov 2021 - 20:05

52

Views

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 08 Nov 2021 - 8:45

49

Views

Separable and irreducible polynomial over $F$

Published on 20 Nov 2021 - 7:46

198

Views

seperability field extensions transitive

Published on 02 Feb 2022 - 7:16

253

Views

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

Published on 10 Feb 2022 - 10:00

84

Views

Why are these statements about separability equivalent?

Published on 14 Feb 2022 - 8:28

28

Views

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 17 Feb 2022 - 10:34

65

Views

Why is this statement about separable degree true?

Published on 17 Feb 2022 - 13:50

61

Views

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

Published on 21 Feb 2022 - 10:21

208

Views

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

Published on 24 Feb 2022 - 14:43

107

Views

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

Published on 13 Apr 2022 - 7:36

93

Views

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

Published on 15 Apr 2022 - 2:32

51

Views

Prove that $A$ is a field

Published on 28 May 2022 - 13:53

114

Views

Does anyone know the Reflection method in solving PDEs?

Published on 20 Jun 2022 - 12:36

45

Views

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

Published on 02 Aug 2022 - 10:56

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

Trending Questions

Popular # Hahtags

Popular Questions