Question

What's an example of an element in $\mathbb R \setminus \mathbb Q[\pi]$?

score 299 · Answer 1 · 2026-04-13 05:26:38

299

Views

What's an example of an element in $\mathbb R \setminus \mathbb Q[\pi]$?

Published on 13 Apr 2026 - 5:26

score 60 · Answer 2 · 2026-04-15 19:47:51

60

Views

Find all homomorphisms from $\mathbb{Q}(\sqrt[5]2)$ to $\mathbb{Q}(\sqrt[5]2, \omega)$

Published on 15 Apr 2026 - 19:47

score 61 · Answer 3 · 2026-04-13 20:26:05

61

Views

When is the product of all Galois conjugates of an element of a field contained in a subextension

Published on 13 Apr 2026 - 20:26

score 30 · Answer 4 · 2026-04-17 11:30:24

30

Views

If field extension is finite, then smallest subfield equals smallest subring

Published on 17 Apr 2026 - 11:30

score 107 · Answer 5 · 2026-04-09 20:52:45

107

Views

a problem on simple extension

Published on 09 Apr 2026 - 20:52

score 87 · Answer 6 · 2026-05-10 23:54:34

87

Views

Transfinite Construction in Differential Fields proof

Published on 10 May 2026 - 23:54

score 95 · Answer 7 · 2026-04-17 05:28:41

95

Views

Proving $\mathbb{Q}(\sqrt{2},\sqrt{5})=\mathbb{Q}(\sqrt{2}+\sqrt{5})$ using matrices

Published on 17 Apr 2026 - 5:28

score 420 · Answer 8 · 2026-04-09 13:38:30

420

Views

Finite extension of a characteristic p field is separable if and only if $E=F(E^p)$

Published on 09 Apr 2026 - 13:38

score 91 · Answer 9 · 2026-04-17 14:36:44

91

Views

Prove that if $K$ is a finite extension of F, $K \neq F$ then there exits $n\in \mathbb{N}$ such that $[K:F]=p^n$

Published on 17 Apr 2026 - 14:36

score 132 · Answer 10 · 2026-04-12 15:11:17

132

Views

Real closed fields

Published on 12 Apr 2026 - 15:11

score 640 · Answer 11 · 2026-04-13 12:17:30

640

Views

Is there such a thing as a "noncommutative field"?

Published on 13 Apr 2026 - 12:17

score 53 · Answer 12 · 2026-04-15 23:25:37

53

Views

Are $\sigma_1(x), \dots, \sigma_n(x)$ linearly independent for some $x \in K \setminus F$?

Published on 15 Apr 2026 - 23:25

score 156 · Answer 13 · 2026-05-10 17:17:51

156

Views

Can every "not-too-big" differential field be thought of as actually consisting of functions?

Published on 10 May 2026 - 17:17

score 56 · Answer 14 · 2026-04-11 17:02:41

56

Views

In an $AKLB$ setup, does norm of an integral element being in a prime ideal of $A$ imply that the element is in a prime ideal of $B$ lying above?

Published on 11 Apr 2026 - 17:02

score 76 · Answer 15 · 2026-04-17 08:21:26

76

Views

Generalizing Steinitz's theorem on ACFs

Published on 17 Apr 2026 - 8:21

List Question

What's an example of an element in $\mathbb R \setminus \mathbb Q[\pi]$?

Find all homomorphisms from $\mathbb{Q}(\sqrt[5]2)$ to $\mathbb{Q}(\sqrt[5]2, \omega)$

When is the product of all Galois conjugates of an element of a field contained in a subextension

If field extension is finite, then smallest subfield equals smallest subring

a problem on simple extension

Transfinite Construction in Differential Fields proof

Proving $\mathbb{Q}(\sqrt{2},\sqrt{5})=\mathbb{Q}(\sqrt{2}+\sqrt{5})$ using matrices

Finite extension of a characteristic p field is separable if and only if $E=F(E^p)$

Prove that if $K$ is a finite extension of F, $K \neq F$ then there exits $n\in \mathbb{N}$ such that $[K:F]=p^n$

Real closed fields

Is there such a thing as a "noncommutative field"?

Are $\sigma_1(x), \dots, \sigma_n(x)$ linearly independent for some $x \in K \setminus F$?

Can every "not-too-big" differential field be thought of as actually consisting of functions?

In an $AKLB$ setup, does norm of an integral element being in a prime ideal of $A$ imply that the element is in a prime ideal of $B$ lying above?

Generalizing Steinitz's theorem on ACFs

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