Question

If $R$ is integral over $S$, then $\operatorname{Frac}(R)/\operatorname{Frac}(S)$ is finite extension of fields

score 541 · Answer 1 · 2026-03-28 03:03:04

541

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If $R$ is integral over $S$, then $\operatorname{Frac}(R)/\operatorname{Frac}(S)$ is finite extension of fields

Published on 28 Mar 2026 - 3:03

score 1.2k · Answer 2 · 2026-04-16 12:29:30

1.2k

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Let $F \supset E \supset K$, $E/K$ and $F/E$ Galois and every $\sigma \in \mathrm{Aut}_K(E)$ extendible to $F$. Then $F/K$ is Galois.

Published on 16 Apr 2026 - 12:29

score 502 · Answer 3 · 2026-04-14 19:54:25

502

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3 questions on field extensions

Published on 14 Apr 2026 - 19:54

score 333 · Answer 4 · 2026-04-13 20:19:19

333

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Question in Hungerford regarding field extensions

Published on 13 Apr 2026 - 20:19

score 1.7k · Answer 5 · 2026-04-13 02:31:46

1.7k

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characteristic vs minimal polynomial

Published on 13 Apr 2026 - 2:31

score 1.3k · Answer 6 · 2026-04-09 00:02:38

1.3k

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fraction field of the integral closure

Published on 09 Apr 2026 - 0:02

score 495 · Answer 7 · 2026-04-17 04:40:31

495

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Find degree of $\mathbb{Q}(i, \sqrt{-2})$ over $\mathbb{Q}$ and over $\mathbb{Q}(i)$

Published on 17 Apr 2026 - 4:40

score 222 · Answer 8 · 2026-04-12 01:08:01

222

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Galois Extensions and $n^{\text{th}}$ Roots

Published on 12 Apr 2026 - 1:08

score 816 · Answer 9 · 2026-04-16 15:55:01

816

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All number fields with absolute value of discriminant $\le 20$

Published on 16 Apr 2026 - 15:55

score 104 · Answer 10 · 2026-04-11 15:34:26

104

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Field extension

Published on 11 Apr 2026 - 15:34

score 38 · Answer 11 · 2026-04-16 16:14:34

38

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equality between the index between field with $p^{n}$ elements and $ \mathbb{F}_{p}$ and n?

Published on 16 Apr 2026 - 16:14

score 196 · Answer 12 · 2026-04-12 03:47:55

196

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How can I show this field extension equality?

Published on 12 Apr 2026 - 3:47

score 3.7k · Answer 13 · 2026-04-13 02:41:42

3.7k

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Ring Inside an Algebraic Field Extension

Published on 13 Apr 2026 - 2:41

score 77 · Answer 14 · 2026-04-11 16:15:27

77

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Is restriction of scalars well-defined on subspaces?

Published on 11 Apr 2026 - 16:15

score 153 · Answer 15 · 2026-04-12 19:28:13

153

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Can the concept of field extensions be applied equally well to UFDs?

Published on 12 Apr 2026 - 19:28

List Question

If $R$ is integral over $S$, then $\operatorname{Frac}(R)/\operatorname{Frac}(S)$ is finite extension of fields

Let $F \supset E \supset K$, $E/K$ and $F/E$ Galois and every $\sigma \in \mathrm{Aut}_K(E)$ extendible to $F$. Then $F/K$ is Galois.

3 questions on field extensions

Question in Hungerford regarding field extensions

characteristic vs minimal polynomial

fraction field of the integral closure

Find degree of $\mathbb{Q}(i, \sqrt{-2})$ over $\mathbb{Q}$ and over $\mathbb{Q}(i)$

Galois Extensions and $n^{\text{th}}$ Roots

All number fields with absolute value of discriminant $\le 20$

Field extension

equality between the index between field with $p^{n}$ elements and $ \mathbb{F}_{p}$ and n?

How can I show this field extension equality?

Ring Inside an Algebraic Field Extension

Is restriction of scalars well-defined on subspaces?

Can the concept of field extensions be applied equally well to UFDs?

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