Question

Another ring of integers in a cubic extension

score 48 · Answer 1 · 2026-03-28 10:56:06

48

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Another ring of integers in a cubic extension

Published on 28 Mar 2026 - 10:56

score 72 · Answer 2 · 2026-03-28 09:24:31

72

Views

Computing class groups of number fields

Published on 28 Mar 2026 - 9:24

score 79 · Answer 3 · 2019-12-05 12:05:05

79

Views

What does the symbol $ \#$ represent in mathematics?

Published on 05 Dec 2019 - 12:05

score 188 · Answer 4 · 2026-03-25 17:20:10

188

Views

Does the existence of a common solution to a set of polynomials over a field extension imply a common solution over the subfield

Published on 25 Mar 2026 - 17:20

score 415 · Answer 5 · 2019-12-06 02:47:16

415

Views

Ring of integers of $\mathbb{Q}(\sqrt[3]{6})$

Published on 06 Dec 2019 - 2:47

score 147 · Answer 6 · 2019-12-06 17:37:38

147

Views

Find $a$ such that $\mathbb{Q}\left(\zeta_{n}\right)\cap \mathbb{R}=\mathbb{Q}(a)$

Published on 06 Dec 2019 - 17:37

score 118 · Answer 7 · 2019-12-08 01:44:35

118

Views

$f(x)=x^3-21x+35$ is irreducable over $Q$. Show if $f(\alpha)=0$ then $f(\alpha^2+2\alpha-14)=0$

Published on 08 Dec 2019 - 1:44

score 63 · Answer 8 · 2026-04-01 08:06:45

63

Views

Let $K$ be a splitting field of $x^3-1$ over $F_{11}$. How many roots has $(x^2-3)(x^3-3)$ in $K$?

Published on 01 Apr 2026 - 8:06

score 925 · Answer 9 · 2019-12-08 18:27:39

925

Views

Let $[K(\alpha):K]$ be odd, $\alpha$ algebraic over field $K$, proof that $K(\alpha) = K(\alpha^2)$.

Published on 08 Dec 2019 - 18:27

score 169 · Answer 10 · 2019-12-09 16:28:26

169

Views

$\mathbb{Q} \subset \mathbb{Q}(\sqrt{2},\sqrt[3]{3},\sqrt[5]{5})$ (simple extension)

Published on 09 Dec 2019 - 16:28

score 75 · Answer 11 · 2026-03-26 06:05:24

75

Views

How can 2-adic valuations be enhanced to accommodate a sixth root of unity?

Published on 26 Mar 2026 - 6:05

score 227 · Answer 12 · 2019-12-10 12:08:25

227

Views

Quadratic subfields of Quartic extensions

Published on 10 Dec 2019 - 12:08

score 95 · Answer 13 · 2026-03-28 10:56:02

95

Views

Group decomposition extension of number fields (and question about normal closure)

Published on 28 Mar 2026 - 10:56

score 23 · Answer 14 · 2026-03-25 15:37:47

23

Views

When is $ a+b \phi >0$?

Published on 25 Mar 2026 - 15:37

score 37 · Answer 15 · 2026-03-26 14:26:10

37

Views

Splitting Fields - Field Extensions

Published on 26 Mar 2026 - 14:26

List Question

Another ring of integers in a cubic extension

Computing class groups of number fields

What does the symbol $ \#$ represent in mathematics?

Does the existence of a common solution to a set of polynomials over a field extension imply a common solution over the subfield

Ring of integers of $\mathbb{Q}(\sqrt[3]{6})$

Find $a$ such that $\mathbb{Q}\left(\zeta_{n}\right)\cap \mathbb{R}=\mathbb{Q}(a)$

$f(x)=x^3-21x+35$ is irreducable over $Q$. Show if $f(\alpha)=0$ then $f(\alpha^2+2\alpha-14)=0$

Let $K$ be a splitting field of $x^3-1$ over $F_{11}$. How many roots has $(x^2-3)(x^3-3)$ in $K$?

Let $[K(\alpha):K]$ be odd, $\alpha$ algebraic over field $K$, proof that $K(\alpha) = K(\alpha^2)$.

$\mathbb{Q} \subset \mathbb{Q}(\sqrt{2},\sqrt[3]{3},\sqrt[5]{5})$ (simple extension)

How can 2-adic valuations be enhanced to accommodate a sixth root of unity?

Quadratic subfields of Quartic extensions

Group decomposition extension of number fields (and question about normal closure)

When is $ a+b \phi >0$?

Splitting Fields - Field Extensions

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