Question

Mathematical field theory Application in real world and other branches of Mathematics

score 859 · Answer 1 · 2026-04-10 06:54:12

859

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Mathematical field theory Application in real world and other branches of Mathematics

Published on 10 Apr 2026 - 6:54

score 364 · Answer 2 · 2026-04-11 01:05:58

364

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How to show this is the minimal polynomial

Published on 11 Apr 2026 - 1:05

score 7.1k · Answer 3 · 2026-04-02 03:52:33

7.1k

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Simple extension fields

Published on 02 Apr 2026 - 3:52

score 465 · Answer 4 · 2014-07-14 08:49:33

465

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Why is an extension $\bar \phi : F(x) \rightarrow F(a)$ an isomorphism if $\phi : F[x] \to F(a)$ is injective?

Published on 14 Jul 2014 - 8:49

score 270 · Answer 5 · 2026-04-02 03:44:23

270

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Characterize elements in $\mathbb Q(\sqrt2,\sqrt[3]5)$

Published on 02 Apr 2026 - 3:44

score 45 · Answer 6 · 2026-04-12 02:29:06

45

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Degree of a single extension of a field.

Published on 12 Apr 2026 - 2:29

score 501 · Answer 7 · 2014-07-15 19:56:23

501

Views

Are all existence proofs by contradiction?

Published on 15 Jul 2014 - 19:56

score 439 · Answer 8 · 2026-04-04 00:52:58

439

Views

Solvability of polynomials over fields of characteristic zero

Published on 04 Apr 2026 - 0:52

score 730 · Answer 9 · 2026-04-12 07:44:47

730

Views

Upper bound on cardinality of a field

Published on 12 Apr 2026 - 7:44

score 180 · Answer 10 · 2014-07-15 22:34:50

180

Views

Galois closure of $\mathbb{C}(T,\sqrt{T^2+T+1})$ over $\mathbb{C}(T^3)$

Published on 15 Jul 2014 - 22:34

score 215 · Answer 11 · 2026-03-25 17:21:51

215

Views

Is it possible to describe $Q(x)$ as the extension field of $R$ freely generated by $\{x\}$?

Published on 25 Mar 2026 - 17:21

score 535 · Answer 12 · 2014-07-16 19:49:50

535

Views

Show that these matrices are congruent.

Published on 16 Jul 2014 - 19:49

score 476 · Answer 13 · 2014-07-17 05:15:33

476

Views

A field having an automorphism of order 2

Published on 17 Jul 2014 - 5:15

score 467 · Answer 14 · 2026-04-12 00:25:30

467

Views

Ordered field with nested intervals axiom without Archimedean axiom

Published on 12 Apr 2026 - 0:25

score 1.9k · Answer 15 · 2026-04-02 03:47:47

1.9k

Views

Find intermediate fields of $\mathbb{Q}(\sqrt[3]{2}, \sqrt{3},i) \, | \, \mathbb{Q}(i)$

Published on 02 Apr 2026 - 3:47

List Question

Mathematical field theory Application in real world and other branches of Mathematics

How to show this is the minimal polynomial

Simple extension fields

Why is an extension $\bar \phi : F(x) \rightarrow F(a)$ an isomorphism if $\phi : F[x] \to F(a)$ is injective?

Characterize elements in $\mathbb Q(\sqrt2,\sqrt[3]5)$

Degree of a single extension of a field.

Are all existence proofs by contradiction?

Solvability of polynomials over fields of characteristic zero

Upper bound on cardinality of a field

Galois closure of $\mathbb{C}(T,\sqrt{T^2+T+1})$ over $\mathbb{C}(T^3)$

Is it possible to describe $Q(x)$ as the extension field of $R$ freely generated by $\{x\}$?

Show that these matrices are congruent.

A field having an automorphism of order 2

Ordered field with nested intervals axiom without Archimedean axiom

Find intermediate fields of $\mathbb{Q}(\sqrt[3]{2}, \sqrt{3},i) \, | \, \mathbb{Q}(i)$

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