Question

Is there a meaningful connection between the notion of minimal polynomial in Linear Algebra and in Field Theory?

score 102 · Answer 1 · 2026-04-11 17:50:39

102

Views

Is there a meaningful connection between the notion of minimal polynomial in Linear Algebra and in Field Theory?

Published on 11 Apr 2026 - 17:50

score 66 · Answer 2 · 2026-03-26 02:57:44

66

Views

For a nonarchimedean field $K$, does the group of units of $\mathcal{O}_K$ being compact imply that $K$ is local?

Published on 26 Mar 2026 - 2:57

score 57 · Answer 3 · 2026-04-15 10:22:09

57

Views

Galois Group Lattice of $f(x) = x^3-3x+4$ over $\mathbb{Q}$

Published on 15 Apr 2026 - 10:22

score 28 · Answer 4 · 2026-04-11 00:24:35

28

Views

Ring and field theory

Published on 11 Apr 2026 - 0:24

score 132 · Answer 5 · 2026-04-12 01:38:17

132

Views

Using Cayley-Hamilton theorem to find the minimal polynomial

Published on 12 Apr 2026 - 1:38

score 84 · Answer 6 · 2026-03-26 02:57:55

84

Views

What’s the best bound on the Dirichlet coefficients of $\zeta(s-1)^2/\zeta(s)$

Published on 26 Mar 2026 - 2:57

score 32 · Answer 7 · 2026-04-13 11:31:02

32

Views

A simple identity about ordered fields

Published on 13 Apr 2026 - 11:31

score 149 · Answer 8 · 2026-04-12 19:08:32

149

Views

Doubling the cube, field extensions and minimal polynoms

Published on 12 Apr 2026 - 19:08

score 91 · Answer 9 · 2026-04-13 06:37:38

91

Views

Class groups of function fields of Riemann surfaces

Published on 13 Apr 2026 - 6:37

score 55 · Answer 10 · 2026-04-09 17:50:59

55

Views

stem field and problem about field extension

Published on 09 Apr 2026 - 17:50

score 94 · Answer 11 · 2026-04-17 10:06:08

94

Views

Are fields $Q[i\sqrt[4]{5}]$ and $Q[\sqrt[4]{5}]$ isomorphic?

Published on 17 Apr 2026 - 10:06

score 105 · Answer 12 · 2026-04-16 02:08:44

105

Views

Show that a given field is a cubic number field

Published on 16 Apr 2026 - 2:08

score 157 · Answer 13 · 2026-04-16 02:51:01

157

Views

Compute $\frac{1+\theta}{1+\theta+\theta^2}$ in $\Bbb{Q}(\theta)$

Published on 16 Apr 2026 - 2:51

score 277 · Answer 14 · 2026-04-12 16:09:20

277

Views

Galois group of the splitting field of $f(x^2)$ over the splitting field of $f(x)$

Published on 12 Apr 2026 - 16:09

score 123 · Answer 15 · 2026-04-15 14:47:15

123

Views

If $f(x^2)$ is irreducible, then $f(x)$ is also irreducible

Published on 15 Apr 2026 - 14:47

List Question

Is there a meaningful connection between the notion of minimal polynomial in Linear Algebra and in Field Theory?

For a nonarchimedean field $K$, does the group of units of $\mathcal{O}_K$ being compact imply that $K$ is local?

Galois Group Lattice of $f(x) = x^3-3x+4$ over $\mathbb{Q}$

Ring and field theory

Using Cayley-Hamilton theorem to find the minimal polynomial

What’s the best bound on the Dirichlet coefficients of $\zeta(s-1)^2/\zeta(s)$

A simple identity about ordered fields

Doubling the cube, field extensions and minimal polynoms

Class groups of function fields of Riemann surfaces

stem field and problem about field extension

Are fields $Q[i\sqrt[4]{5}]$ and $Q[\sqrt[4]{5}]$ isomorphic?

Show that a given field is a cubic number field

Compute $\frac{1+\theta}{1+\theta+\theta^2}$ in $\Bbb{Q}(\theta)$

Galois group of the splitting field of $f(x^2)$ over the splitting field of $f(x)$

If $f(x^2)$ is irreducible, then $f(x)$ is also irreducible

Trending Questions

Popular # Hahtags

Popular Questions