List questions from extension-field

Published on 30 Jun 2020 - 5:05

38

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Abelian extensions $E|F$ and $F|K$ $\implies E|K$?

Published on 29 Mar 2026 - 2:46

68

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Algebraic extension of fields

Published on 30 Jun 2020 - 10:46

277

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Splitting field of $x^3-2$ over $\Bbb Q$ are distinct but isomorphic

Published on 26 Mar 2026 - 22:54

90

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Field extension: a conundrum

Published on 01 Jul 2020 - 3:41

40

Views

The same result for $\mathbb{C}$ is true for algebraically closed field?

Published on 01 Jul 2020 - 23:47

43

Views

Quadratic number fields that contain primitive root of unity

Published on 25 Mar 2026 - 11:34

132

Views

What is the concrete meaning of fixing an extension field through a subgroup of automorphisms in $x^3-2$?

Published on 04 Jul 2020 - 4:23

125

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Relation between irreducible polynomial and dimension

Published on 30 Mar 2026 - 13:36

241

Views

Question about some term in Sage while using GF(9)

Published on 26 Mar 2026 - 2:53

236

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Let $K$ be a separable extension of $F$.

Published on 23 Feb 2026 - 6:37

43

Views

Topologies/Norms on Real Closed Fields

Published on 07 Jul 2020 - 23:42

127

Views

If $a$ belongs to an extension field of $F$ and $f(a)$ is algebraic over $F$, then $a$ is algebraic over $F$.

Published on 09 Jul 2020 - 0:51

141

Views

Non Abelian Normal Field Extension with Abelian Subextensions

Published on 29 Mar 2026 - 2:46

41

Views

Is it true that in general $\operatorname{Gal}(K:\mathbb{Q}_p)\cong\operatorname{Gal}(k:\mathbb{F}_{p^f})$?

Published on 29 Mar 2026 - 10:49

List Question

Rings Trapped Between Fields

Abelian extensions $E|F$ and $F|K$ $\implies E|K$?

Algebraic extension of fields

Splitting field of $x^3-2$ over $\Bbb Q$ are distinct but isomorphic

Field extension: a conundrum

The same result for $\mathbb{C}$ is true for algebraically closed field?

Quadratic number fields that contain primitive root of unity

What is the concrete meaning of fixing an extension field through a subgroup of automorphisms in $x^3-2$?

Relation between irreducible polynomial and dimension

Question about some term in Sage while using GF(9)

Let $K$ be a separable extension of $F$.

Topologies/Norms on Real Closed Fields

If $a$ belongs to an extension field of $F$ and $f(a)$ is algebraic over $F$, then $a$ is algebraic over $F$.

Non Abelian Normal Field Extension with Abelian Subextensions

Is it true that in general $\operatorname{Gal}(K:\mathbb{Q}_p)\cong\operatorname{Gal}(k:\mathbb{F}_{p^f})$?

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