Question

What is a requirement for an order of algebraic number field $K$ to be integrally closed domain?

score 81 · Answer 1 · 2026-04-17 04:56:28

81

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What is a requirement for an order of algebraic number field $K$ to be integrally closed domain?

Published on 17 Apr 2026 - 4:56

score 402 · Answer 2 · 2026-04-13 13:04:30

402

Views

Field extensions and minimal polynomials

Published on 13 Apr 2026 - 13:04

score 712 · Answer 3 · 2026-04-12 02:16:55

712

Views

condition for equivalence of norms on vector spaces

Published on 12 Apr 2026 - 2:16

score 672 · Answer 4 · 2026-04-14 10:44:00

672

Views

Problem involving a tower of fields with an algebraic and a normal extension

Published on 14 Apr 2026 - 10:44

score 297 · Answer 5 · 2026-04-15 01:11:43

297

Views

Show that $F[x] / (x^2-1) \cong F \times F$ iff $char(F) \neq 2$

Published on 15 Apr 2026 - 1:11

score 2.1k · Answer 6 · 2026-04-14 00:38:19

2.1k

Views

Fixed field of a subgroup of a Galois group

Published on 14 Apr 2026 - 0:38

score 120 · Answer 7 · 2026-04-17 06:08:36

120

Views

$\overline{\mathbb Q}$ and $\mathbb C$ same first order theory

Published on 17 Apr 2026 - 6:08

score 35 · Answer 8 · 2026-04-14 01:44:26

35

Views

Connection between field and the frobenius homomorphism

Published on 14 Apr 2026 - 1:44

score 906 · Answer 9 · 2026-04-16 14:05:38

906

Views

Show that the algebraic extension $K(\alpha,\beta)/K$ is simple if $\alpha$ is separable over $K$

Published on 16 Apr 2026 - 14:05

score 527 · Answer 10 · 2026-04-11 17:59:02

527

Views

Galois group, algebraic closure over maximal extension

Published on 11 Apr 2026 - 17:59

score 80 · Answer 11 · 2026-04-14 17:45:22

80

Views

Does there exist $\mathbf{Q} \subset R \subset \mathbf{C}$, $R$ ring & not field

Published on 14 Apr 2026 - 17:45

score 1.1k · Answer 12 · 2026-04-14 22:16:01

1.1k

Views

Embed finite field in algebraic closed field

Published on 14 Apr 2026 - 22:16

score 315 · Answer 13 · 2026-04-17 11:39:19

315

Views

$K$ field, $f/g\in K(X)-K$, $f,g\in K[X]$ coprime then $[K(X):K(f/g)]=\max(\deg f, \deg g)$

Published on 17 Apr 2026 - 11:39

score 79 · Answer 14 · 2026-04-14 12:32:41

79

Views

Why 2*3=6 in finite field?

Published on 14 Apr 2026 - 12:32

score 81 · Answer 15 · 2026-04-12 11:42:32

81

Views

Embeddings of a subfield of $ \mathbb{C} $

Published on 12 Apr 2026 - 11:42

List Question

What is a requirement for an order of algebraic number field $K$ to be integrally closed domain?

Field extensions and minimal polynomials

condition for equivalence of norms on vector spaces

Problem involving a tower of fields with an algebraic and a normal extension

Show that $F[x] / (x^2-1) \cong F \times F$ iff $char(F) \neq 2$

Fixed field of a subgroup of a Galois group

$\overline{\mathbb Q}$ and $\mathbb C$ same first order theory

Connection between field and the frobenius homomorphism

Show that the algebraic extension $K(\alpha,\beta)/K$ is simple if $\alpha$ is separable over $K$

Galois group, algebraic closure over maximal extension

Does there exist $\mathbf{Q} \subset R \subset \mathbf{C}$, $R$ ring & not field

Embed finite field in algebraic closed field

$K$ field, $f/g\in K(X)-K$, $f,g\in K[X]$ coprime then $[K(X):K(f/g)]=\max(\deg f, \deg g)$

Why 2*3=6 in finite field?

Embeddings of a subfield of $ \mathbb{C} $

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