Question

A question about the field extension $\mathbb{Q}(\sqrt{3+ \sqrt{2}})$ over $\mathbb{Q}$

score 77 · Answer 1 · 2026-04-15 03:48:22

77

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A question about the field extension $\mathbb{Q}(\sqrt{3+ \sqrt{2}})$ over $\mathbb{Q}$

Published on 15 Apr 2026 - 3:48

score 570 · Answer 2 · 2026-04-13 07:26:48

570

Views

When is a field "compatible" with an abelian group?

Published on 13 Apr 2026 - 7:26

score 34 · Answer 3 · 2026-04-12 12:13:11

34

Views

Operation that is distributive over convolution of integer sequences

Published on 12 Apr 2026 - 12:13

score 37 · Answer 4 · 2026-04-15 21:42:49

37

Views

Elliptic curves - mod $\mathcal{M}$ map

Published on 15 Apr 2026 - 21:42

score 86 · Answer 5 · 2026-04-15 14:45:05

86

Views

Factorization of ideals in number fields of the form $K=\mathbb{Q}(\alpha,\beta)$

Published on 15 Apr 2026 - 14:45

score 64 · Answer 6 · 2026-04-12 10:30:46

64

Views

Proof of equivalent properties of an infinite Galois extension

Published on 12 Apr 2026 - 10:30

score 17 · Answer 7 · 2026-05-11 03:28:03

17

Views

Algebraic K-theory of compositum of fields $K_2(F.M)$

Published on 11 May 2026 - 3:28

score 51 · Answer 8 · 2026-05-11 06:28:47

51

Views

How do I define the coalgebra structure on a field?

Published on 11 May 2026 - 6:28

score 91 · Answer 9 · 2026-04-09 03:39:43

91

Views

A questions about perfect field

Published on 09 Apr 2026 - 3:39

score 60 · Answer 10 · 2026-04-12 07:26:51

60

Views

Consistent Choice of Root of Unity in Characteristic $p > 0$

Published on 12 Apr 2026 - 7:26

score 49 · Answer 11 · 2026-04-17 12:26:02

Show $\mathrm{disc}(1,\alpha,\dots,\alpha^{d-1})=(-1)^{d(d-1)/2}N_{\mathbb Q(\alpha)/\mathbb Q}(f'(\alpha))$, with $d=[\mathbb Q(\alpha):\mathbb Q]$

score 146 · Answer 12 · 2026-04-12 23:51:46

146

Views

Is there an algorithm to check if a polynomial with integer coefficients is reducible over some extension of $\mathbb Q$?

Published on 12 Apr 2026 - 23:51

score 33 · Answer 13 · 2026-04-13 08:01:56

33

Views

Every ring $R$ with $K ⊆ R ⊆ L$ (subrings) is a field $\Leftrightarrow$ $L/K$ is algebraic

Published on 13 Apr 2026 - 8:01

score 48 · Answer 14 · 2026-04-16 05:51:01

48

Views

$L/K$ field extension and $[M : K] ≤ C$ holds for all real intermediate fields $M$. Then $[L : K]$ is also finite

Published on 16 Apr 2026 - 5:51

score 97 · Answer 15 · 2026-04-15 23:04:44

97

Views

How $\alpha$ is a root of $x^2-\alpha^2$ in $F[\alpha^2][x]$?

Published on 15 Apr 2026 - 23:04

List Question

A question about the field extension $\mathbb{Q}(\sqrt{3+ \sqrt{2}})$ over $\mathbb{Q}$

When is a field "compatible" with an abelian group?

Operation that is distributive over convolution of integer sequences

Elliptic curves - mod $\mathcal{M}$ map

Factorization of ideals in number fields of the form $K=\mathbb{Q}(\alpha,\beta)$

Proof of equivalent properties of an infinite Galois extension

Algebraic K-theory of compositum of fields $K_2(F.M)$

How do I define the coalgebra structure on a field?

A questions about perfect field

Consistent Choice of Root of Unity in Characteristic $p > 0$

Show $\mathrm{disc}(1,\alpha,\dots,\alpha^{d-1})=(-1)^{d(d-1)/2}N_{\mathbb Q(\alpha)/\mathbb Q}(f'(\alpha))$, with $d=[\mathbb Q(\alpha):\mathbb Q]$

Is there an algorithm to check if a polynomial with integer coefficients is reducible over some extension of $\mathbb Q$?

Every ring $R$ with $K ⊆ R ⊆ L$ (subrings) is a field $\Leftrightarrow$ $L/K$ is algebraic

$L/K$ field extension and $[M : K] ≤ C$ holds for all real intermediate fields $M$. Then $[L : K]$ is also finite

How $\alpha$ is a root of $x^2-\alpha^2$ in $F[\alpha^2][x]$?

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