List questions from field-theory

Published on 11 Apr 2026 - 14:22

40

Views

Some calculation in $F_5[D_{30}]$.

Published on 15 May 2026 - 3:41

19

Views

Separable extension embedding

Published on 15 Apr 2026 - 0:21

179

Views

If $|\cdot|$ is a nontrivial nonarchimedean absolute value over $\mathbb{C}$, must $(\mathbb{C},|\cdot|)$ embed into $\mathbb{C}_p$ for some $p$?

Published on 13 Apr 2026 - 2:10

140

Views

Are the split-complex numbers a proper algebraic extension of the real numbers?

Published on 10 Apr 2026 - 0:09

55

Views

Why does the map induce an injection of function fields

Published on 14 Apr 2026 - 15:48

41

Views

Notation for “either a value or the identity”

Published on 06 May 2026 - 4:10

124

Views

Why the assumption 'L is contained in an algebraic closure of K' is required in the definition of normal extension?

Published on 13 Apr 2026 - 3:43

76

Views

Unprovable over $\mathbb{R}$, provable over $\mathbb{C}$?

Published on 15 Apr 2026 - 6:48

59

Views

Does $[KL:L]=[K:K\cap L]$ when $L/(K\cap L)$ is normal?

Published on 13 Apr 2026 - 12:47

104

Views

If the algebraic expression of a transcendental number is algebraic, is the number algebraic?

Published on 15 Apr 2026 - 11:21

51

Views

Prove $\left[F:\operatorname{Fix}(G)\right] \geq |G|$ if $G$ is finite and acts faithfully on $F$.

Published on 15 Apr 2026 - 22:01

133

Views

$-3x^{2m}+7x^m-3$ is irreducible for all $m\geq 1$

Published on 16 Apr 2026 - 2:24

100

Views

Use of separability in Lang's Algebraic Number Theory

Published on 15 Apr 2026 - 3:35

104

Views

Conditions for the tower of Galois extensions of local fields to be a Galois extension

Published on 12 Apr 2026 - 18:04

List Question

Degree of a field over intersection

Some calculation in $F_5[D_{30}]$.

Separable extension embedding

If $|\cdot|$ is a nontrivial nonarchimedean absolute value over $\mathbb{C}$, must $(\mathbb{C},|\cdot|)$ embed into $\mathbb{C}_p$ for some $p$?

Are the split-complex numbers a proper algebraic extension of the real numbers?

Why does the map induce an injection of function fields

Notation for “either a value or the identity”

Why the assumption 'L is contained in an algebraic closure of K' is required in the definition of normal extension?

Unprovable over $\mathbb{R}$, provable over $\mathbb{C}$?

Does $[KL:L]=[K:K\cap L]$ when $L/(K\cap L)$ is normal?

If the algebraic expression of a transcendental number is algebraic, is the number algebraic?

Prove $\left[F:\operatorname{Fix}(G)\right] \geq |G|$ if $G$ is finite and acts faithfully on $F$.

$-3x^{2m}+7x^m-3$ is irreducible for all $m\geq 1$

Use of separability in Lang's Algebraic Number Theory

Conditions for the tower of Galois extensions of local fields to be a Galois extension

Trending Questions

Popular # Hahtags

Popular Questions