Question

Separable extensions and simple roots

score 110 · Answer 1 · 2026-05-15 08:09:29

110

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Separable extensions and simple roots

Published on 15 May 2026 - 8:09

score 60 · Answer 2 · 2026-04-16 19:51:57

60

Views

Orders of field automorphisms of $\mathbb{C}$

Published on 16 Apr 2026 - 19:51

score 57 · Answer 3 · 2026-04-21 20:39:52

57

Views

Set-builder Notation for the Smallest Possible Subring and Subfield containing non-zero element $a$.

Published on 21 Apr 2026 - 20:39

score 78 · Answer 4 · 2026-04-15 14:36:20

78

Views

Separability of sums and products; Wraith's definition of formally unramified morphisms

Published on 15 Apr 2026 - 14:36

score 200 · Answer 5 · 2026-04-14 08:28:45

200

Views

How many monic quadratic polynomials are there in $\mathbb{Z}_{23}$? How many have roots in $\mathbb{Z}_{23}$?

Published on 14 Apr 2026 - 8:28

score 40 · Answer 6 · 2026-03-26 02:57:43

40

Views

Possible failure of $ef=n$ for a degree $n$ extension of a field complete to a nondiscrete nonarchimedean valuation?

Published on 26 Mar 2026 - 2:57

score 165 · Answer 7 · 2026-03-26 17:53:15

165

Views

Tensor of ring of formal power series and a field

Published on 26 Mar 2026 - 17:53

score 135 · Answer 8 · 2026-04-12 03:46:22

135

Views

Subfield of a complete valuation field also complete

Published on 12 Apr 2026 - 3:46

score 48 · Answer 9 · 2026-05-15 10:53:47

48

Views

Suppose $K$ is a field such that every finite Galois extension of $K$ is cyclic. Is there a name for this property?

Published on 15 May 2026 - 10:53

score 39 · Answer 10 · 2026-04-14 19:55:15

39

Views

Question about rational functions of the 'variables' in an arbitrary set $X$

Published on 14 Apr 2026 - 19:55

score 71 · Answer 11 · 2026-04-09 07:12:17

71

Views

Help Understanding the Field Trace

Published on 09 Apr 2026 - 7:12

score 59 · Answer 12 · 2026-04-09 15:26:00

59

Views

Minimum polynomial and inseparable degree

Published on 09 Apr 2026 - 15:26

score 115 · Answer 13 · 2026-04-16 14:48:57

115

Views

Let $F$ be a field. Every (non-constant) polynomial $p \in F[X]$ is transcendental over $F$

Published on 16 Apr 2026 - 14:48

score 96 · Answer 14 · 2026-04-11 16:12:02

96

Views

Is $\alpha = \pi^2$ algebraic over $\mathbb{Q}(\pi)$?

Published on 11 Apr 2026 - 16:12

score 172 · Answer 15 · 2026-04-16 05:38:48

172

Views

Find the possible values for $[\mathbb{Q}(\alpha,\beta):\mathbb{Q}]$ and provide an example of $(\alpha,\beta)$ for each possible value

Published on 16 Apr 2026 - 5:38

List Question

Separable extensions and simple roots

Orders of field automorphisms of $\mathbb{C}$

Set-builder Notation for the Smallest Possible Subring and Subfield containing non-zero element $a$.

Separability of sums and products; Wraith's definition of formally unramified morphisms

How many monic quadratic polynomials are there in $\mathbb{Z}_{23}$? How many have roots in $\mathbb{Z}_{23}$?

Possible failure of $ef=n$ for a degree $n$ extension of a field complete to a nondiscrete nonarchimedean valuation?

Tensor of ring of formal power series and a field

Subfield of a complete valuation field also complete

Suppose $K$ is a field such that every finite Galois extension of $K$ is cyclic. Is there a name for this property?

Question about rational functions of the 'variables' in an arbitrary set $X$

Help Understanding the Field Trace

Minimum polynomial and inseparable degree

Let $F$ be a field. Every (non-constant) polynomial $p \in F[X]$ is transcendental over $F$

Is $\alpha = \pi^2$ algebraic over $\mathbb{Q}(\pi)$?

Find the possible values for $[\mathbb{Q}(\alpha,\beta):\mathbb{Q}]$ and provide an example of $(\alpha,\beta)$ for each possible value

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