List questions from field-theory

Published on 14 Apr 2026 - 20:56

89

Views

The 2D Ising model relationship with the transverse ising chain

Published on 25 Mar 2026 - 17:43

74

Views

Is field extension T(a,b)=T(a)(b)?

Published on 11 Apr 2026 - 13:23

231

Views

Generalizing a result in $\mathbb{C}[x]$ to a result in $\mathbb{C}[x,y]$

Published on 15 Apr 2026 - 13:52

923

Views

Does there exist a field where all even degree equations have solutions but not all odd degree equations?

Published on 12 Apr 2026 - 2:41

106

Views

Does $\sqrt a + \sqrt b$ have a four way conjugate?

Published on 09 Apr 2026 - 5:29

77

Views

Jacobian criterion for Zariski cotangent space over arbitrary field

Published on 12 Apr 2026 - 1:00

58

Views

Multiplicative group of a field (not necessarily finite)

Published on 14 Apr 2026 - 17:55

57

Views

A question regarding existence of solutions to polynomial equations in fields.

Published on 12 Apr 2026 - 7:51

102

Views

Notation for (algebraic) closure

Published on 06 May 2026 - 5:09

199

Views

If $f$ and $g$ are coprime, then $Z(f) \cap Z(g)$ is finite (in projective space $\Bbb P^2$).

Published on 16 Apr 2026 - 12:59

83

Views

Example(s) of topological fields that are not locally compact

Published on 12 Apr 2026 - 0:44

150

Views

What is $\{u+u^p: u\in F\}$ in the finite field $F_{p^n}$?

Published on 17 Apr 2026 - 5:51

131

Views

Precisely which sets of numbers have this "fieldable" property?

Published on 14 Apr 2026 - 23:14

70

Views

How to determine $[\mathbb{Q}(e^{\frac{2 \pi i}{3}},\sqrt2) : \mathbb{Q}]$

Published on 15 Apr 2026 - 5:03

List Question

Why doesn’t $F[x]/p(x)$ contain $F$?

The 2D Ising model relationship with the transverse ising chain

Is field extension T(a,b)=T(a)(b)?

Generalizing a result in $\mathbb{C}[x]$ to a result in $\mathbb{C}[x,y]$

Does there exist a field where all even degree equations have solutions but not all odd degree equations?

Does $\sqrt a + \sqrt b$ have a four way conjugate?

Jacobian criterion for Zariski cotangent space over arbitrary field

Multiplicative group of a field (not necessarily finite)

A question regarding existence of solutions to polynomial equations in fields.

Notation for (algebraic) closure

If $f$ and $g$ are coprime, then $Z(f) \cap Z(g)$ is finite (in projective space $\Bbb P^2$).

Example(s) of topological fields that are not locally compact

What is $\{u+u^p: u\in F\}$ in the finite field $F_{p^n}$?

Precisely which sets of numbers have this "fieldable" property?

How to determine $[\mathbb{Q}(e^{\frac{2 \pi i}{3}},\sqrt2) : \mathbb{Q}]$

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