List questions from field-theory

Published on 25 Mar 2026 - 11:55

216

Views

Question about existence of Galois extension

Published on 23 Mar 2026 - 1:54

60

Views

Proving addition is associative in $\mathbb{R}$

Published on 26 Mar 2026 - 2:59

63

Views

Two minor questions about a transcendental number over $\Bbb Q$

Published on 14 Mar 2026 - 13:14

531

Views

Is it possible for an infinite field that does not contain a subfield isomorphic to $\Bbb Q$?

Published on 22 Mar 2026 - 18:22

1.1k

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Proving that the fraction field of a $k[x,y]/(f)$ is isomorphic to $k(t)$

Published on 17 Mar 2026 - 10:43

3.7k

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Finding a generator of GF(16)*

Published on 17 Mar 2026 - 12:03

75

Views

Operator notation for arbitrary fields

Published on 25 Mar 2026 - 12:53

47

Views

Studying the $F[x]/\langle p(x)\rangle$ when $p(x)$ is any degree.

Published on 17 Mar 2026 - 8:04

606

Views

Proof of normal basis theorem for finite fields

Published on 17 Mar 2026 - 9:29

967

Views

Field $\mathbb{Q}(\alpha)$ with $\alpha=\sqrt[3]7+2i$

Published on 18 Mar 2026 - 6:49

76

Views

When will $F[x]/\langle p(x)\rangle$ strictly contain $F$?

Published on 22 Mar 2026 - 7:48

72

Views

$\overline{A}\simeq\overline{k}^n $ implies $A\simeq K_1\times\cdots\times K_r$

Published on 17 Mar 2026 - 7:15

26

Views

$F[x]/\langle f(x)\rangle$ vs. $F[x]/\langle g(x)\rangle$ when $\deg f(x)<\deg g(x)$

Published on 26 Mar 2026 - 6:01

170

Views

Regular inverse Galois problem for Q(t)

Published on 22 Mar 2026 - 4:29

List Question

Square classes of a real closed field

Question about existence of Galois extension

Proving addition is associative in $\mathbb{R}$

Two minor questions about a transcendental number over $\Bbb Q$

Is it possible for an infinite field that does not contain a subfield isomorphic to $\Bbb Q$?

Proving that the fraction field of a $k[x,y]/(f)$ is isomorphic to $k(t)$

Finding a generator of GF(16)*

Operator notation for arbitrary fields

Studying the $F[x]/\langle p(x)\rangle$ when $p(x)$ is any degree.

Proof of normal basis theorem for finite fields

Field $\mathbb{Q}(\alpha)$ with $\alpha=\sqrt[3]7+2i$

When will $F[x]/\langle p(x)\rangle$ strictly contain $F$?

$\overline{A}\simeq\overline{k}^n $ implies $A\simeq K_1\times\cdots\times K_r$

$F[x]/\langle f(x)\rangle$ vs. $F[x]/\langle g(x)\rangle$ when $\deg f(x)<\deg g(x)$

Regular inverse Galois problem for Q(t)

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