Question

The field of quotients of integral domain and two related questions

score 1.1k · Answer 1 · 2018-06-13 21:43:59

1.1k

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The field of quotients of integral domain and two related questions

Published on 13 Jun 2018 - 21:43

score 567 · Answer 2 · 2018-06-14 09:25:41

567

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An irreducible and not separable polynomial

Published on 14 Jun 2018 - 9:25

score 732 · Answer 3 · 2026-03-23 09:25:56

732

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How can I compute the discriminant of the field $\mathbb{Q}(\sqrt[3]{28})$?

Published on 23 Mar 2026 - 9:25

score 145 · Answer 4 · 2026-03-28 13:35:02

145

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Compute $T_{E|\mathbb{Q}}(\alpha)$ and $N_{E|\mathbb{Q}}(\alpha)$ for every $\alpha \in E$.

Published on 28 Mar 2026 - 13:35

score 627 · Answer 5 · 2018-06-15 15:57:44

627

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The subring of a field extension contains the field, is a subfield of the field extension

Published on 15 Jun 2018 - 15:57

score 288 · Answer 6 · 2026-03-26 04:52:37

288

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What exactly is an $n$-th root in a field?

Published on 26 Mar 2026 - 4:52

score 54 · Answer 7 · 2026-03-28 13:37:09

54

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Proof that $\kappa(A[t])=\kappa(A)(t)$

Published on 28 Mar 2026 - 13:37

score 243 · Answer 8 · 2026-03-24 22:01:50

243

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Is $\sqrt[3]5+\sqrt[3]7$ contained in a cyclotomic extension?

Published on 24 Mar 2026 - 22:01

score 283 · Answer 9 · 2026-03-28 13:41:52

283

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Fundamental Theorem of Galois Theory and correspondence between fields and subgroups.

Published on 28 Mar 2026 - 13:41

score 62 · Answer 10 · 2026-03-25 10:53:00

62

Views

Extension of field automorphisms

Published on 25 Mar 2026 - 10:53

score 403 · Answer 11 · 2026-03-25 13:13:25

403

Views

Doubt in proof of Theorem 3.19 from Patrick Morandi's Field and Galois Theory

Published on 25 Mar 2026 - 13:13

score 160 · Answer 12 · 2018-06-17 19:47:49

160

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About the center of an algebra over different fields

Published on 17 Jun 2018 - 19:47

score 364 · Answer 13 · 2026-03-28 11:54:06

364

Views

If $f(x) \in \mathbb{Q}[x]$ is a monic irreducible polynomial of degree $3$, then $f$ has no roots in $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$.

Published on 28 Mar 2026 - 11:54

score 255 · Answer 14 · 2026-03-29 10:46:43

255

Views

Why does the inner product require the base field be $\mathbb{R}$ or $\mathbb{C}$?

Published on 29 Mar 2026 - 10:46

score 166 · Answer 15 · 2026-03-25 13:13:25

166

Views

Doubt in proof of Proposition 4.5 from Patrick Morandi's Field and Galois Theory

Published on 25 Mar 2026 - 13:13

List Question

The field of quotients of integral domain and two related questions

An irreducible and not separable polynomial

How can I compute the discriminant of the field $\mathbb{Q}(\sqrt[3]{28})$?

Compute $T_{E|\mathbb{Q}}(\alpha)$ and $N_{E|\mathbb{Q}}(\alpha)$ for every $\alpha \in E$.

The subring of a field extension contains the field, is a subfield of the field extension

What exactly is an $n$-th root in a field?

Proof that $\kappa(A[t])=\kappa(A)(t)$

Is $\sqrt[3]5+\sqrt[3]7$ contained in a cyclotomic extension?

Fundamental Theorem of Galois Theory and correspondence between fields and subgroups.

Extension of field automorphisms

Doubt in proof of Theorem 3.19 from Patrick Morandi's Field and Galois Theory

About the center of an algebra over different fields

If $f(x) \in \mathbb{Q}[x]$ is a monic irreducible polynomial of degree $3$, then $f$ has no roots in $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$.

Why does the inner product require the base field be $\mathbb{R}$ or $\mathbb{C}$?

Doubt in proof of Proposition 4.5 from Patrick Morandi's Field and Galois Theory

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