List questions from normal-extension

Published on 04 Apr 2026 - 5:46

932

Views

non separable, non normal, finite field extension

Published on 01 Apr 2026 - 11:12

130

Views

smallest normal extension containing an infinite algebraic extension

Published on 04 Apr 2026 - 2:15

260

Views

Converse to Prop. V.6.11 from Lang's Algebra: $E/k$ normal $\impliedby E^{\operatorname{Aut}(E/k)}/k $ purely inseparable?

Published on 03 Apr 2026 - 8:38

65

Views

Intermediate Fields and Root Fields

Published on 09 Apr 2026 - 2:37

197

Views

Are normal extensions always simple?

Published on 05 Apr 2026 - 22:52

665

Views

If $L/K$ normal and $H = \operatorname{Aut}(L/K)$, then $L/L^H$ is separable and $L^H/K$ is purely inseparable.

Published on 04 Apr 2026 - 19:13

1.6k

Views

Finding whether an extension is normal

Published on 02 Apr 2026 - 7:19

157

Views

What automorphism cannot be extended when the extension is not normal?

Published on 04 Apr 2026 - 0:17

78

Views

Determine $[\mathbb{Q}(\sqrt[4]{11}+i\sqrt[4]{11}):\mathbb{Q}]$, and determine if $\mathbb{Q}(\sqrt[4]{11}+i\sqrt[4]{11})/\mathbb{Q}$ is normal

Published on 04 Apr 2026 - 0:43

311

Views

Doubt in Lang's proof that normal extensions remain normal under lifting (Theorem V.3.4, Algebra)

Published on 04 Apr 2026 - 9:21

116

Views

Help understanding how to show a field extension is a Galois extension .

Published on 06 Apr 2026 - 16:21

205

Views

Prove if two normal extensions over a field are isomorphic

Published on 06 Apr 2026 - 18:21

259

Views

Normal Closure of an Algebraic Extension

Published on 06 Apr 2026 - 21:21

889

Views

Show that an extension $K/F$ with $|K:F| = 2$ is normal.

Published on 06 Apr 2026 - 17:49

List Question

Property of Splitting Fields and K-homomorphisms

non separable, non normal, finite field extension

smallest normal extension containing an infinite algebraic extension

Converse to Prop. V.6.11 from Lang's Algebra: $E/k$ normal $\impliedby E^{\operatorname{Aut}(E/k)}/k $ purely inseparable?

Intermediate Fields and Root Fields

Are normal extensions always simple?

If $L/K$ normal and $H = \operatorname{Aut}(L/K)$, then $L/L^H$ is separable and $L^H/K$ is purely inseparable.

Finding whether an extension is normal

What automorphism cannot be extended when the extension is not normal?

Determine $[\mathbb{Q}(\sqrt[4]{11}+i\sqrt[4]{11}):\mathbb{Q}]$, and determine if $\mathbb{Q}(\sqrt[4]{11}+i\sqrt[4]{11})/\mathbb{Q}$ is normal

Doubt in Lang's proof that normal extensions remain normal under lifting (Theorem V.3.4, Algebra)

Help understanding how to show a field extension is a Galois extension .

Prove if two normal extensions over a field are isomorphic

Normal Closure of an Algebraic Extension

Show that an extension $K/F$ with $|K:F| = 2$ is normal.

Trending Questions

Popular # Hahtags

Popular Questions