Question

Degree of Field Extension $[\mathbb{Q}(\sqrt[3]{2}):\mathbb{Q}]$

score 2.7k · Answer 1 · 2026-04-15 21:29:14

2.7k

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Degree of Field Extension $[\mathbb{Q}(\sqrt[3]{2}):\mathbb{Q}]$

Published on 15 Apr 2026 - 21:29

score 242 · Answer 2 · 2026-04-16 00:23:25

242

Views

If $f^2=f$, then $f$ is of constant rank.

Published on 16 Apr 2026 - 0:23

score 108 · Answer 3 · 2026-05-10 15:00:39

108

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Minimal polynomial generators of aurifeuillan factors cyclotomic polynomials

Published on 10 May 2026 - 15:00

score 104 · Answer 4 · 2026-04-15 04:37:54

104

Views

Conditions for Which $\mathbb{F}[T]$ Is a Field

Published on 15 Apr 2026 - 4:37

score 739 · Answer 5 · 2026-04-14 05:55:22

739

Views

Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.

Published on 14 Apr 2026 - 5:55

score 1.3k · Answer 6 · 2026-04-13 03:45:44

1.3k

Views

Degree of a field extension of a minimal polynomial

Published on 13 Apr 2026 - 3:45

score 74 · Answer 7 · 2026-04-09 03:34:39

74

Views

How to show linear independence of three elements connected by a linear transformation.

Published on 09 Apr 2026 - 3:34

score 194 · Answer 8 · 2026-05-02 19:46:41

194

Views

are parabolic points in the Mandelbrot set algebraic numbers?

Published on 02 May 2026 - 19:46

score 271 · Answer 9 · 2026-04-10 09:54:31

271

Views

Constant Term of a Monic Polynomial in $\mathbb{Z}[x]$ Is Divisible by 3

Published on 10 Apr 2026 - 9:54

score 113 · Answer 10 · 2026-05-04 12:23:54

113

Views

Given square real matrix $A$ with $\det(A) = 108$ and $(A-2I)(A^2-9I)=0$, is $A$ normal?

Published on 04 May 2026 - 12:23

score 83 · Answer 11 · 2026-04-16 05:15:10

83

Views

Showing the minimal polynomial of $\sqrt[n]{p}$ over $\mathbb{Q}$ is $x^n-p$

Published on 16 Apr 2026 - 5:15

score 208 · Answer 12 · 2026-05-04 22:01:10

208

Views

Difficulty finding minimal polynomial...

Published on 04 May 2026 - 22:01

score 191 · Answer 13 · 2026-04-11 01:36:45

191

Views

Can the minimal polynomial of a matrix have a root with multiplicity?

Published on 11 Apr 2026 - 1:36

score 632 · Answer 14 · 2026-04-17 10:17:33

632

Views

Prove or disprove that $[L:K] = \deg(p)$

Published on 17 Apr 2026 - 10:17

score 70 · Answer 15 · 2026-04-14 01:44:15

70

Views

Rewriting a sum of harmonic powers as a minimal polynomial

Published on 14 Apr 2026 - 1:44

List Question

Degree of Field Extension $[\mathbb{Q}(\sqrt[3]{2}):\mathbb{Q}]$

If $f^2=f$, then $f$ is of constant rank.

Minimal polynomial generators of aurifeuillan factors cyclotomic polynomials

Conditions for Which $\mathbb{F}[T]$ Is a Field

Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.

Degree of a field extension of a minimal polynomial

How to show linear independence of three elements connected by a linear transformation.

are parabolic points in the Mandelbrot set algebraic numbers?

Constant Term of a Monic Polynomial in $\mathbb{Z}[x]$ Is Divisible by 3

Given square real matrix $A$ with $\det(A) = 108$ and $(A-2I)(A^2-9I)=0$, is $A$ normal?

Showing the minimal polynomial of $\sqrt[n]{p}$ over $\mathbb{Q}$ is $x^n-p$

Difficulty finding minimal polynomial...

Can the minimal polynomial of a matrix have a root with multiplicity?

Prove or disprove that $[L:K] = \deg(p)$

Rewriting a sum of harmonic powers as a minimal polynomial

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