Question

Transitivity of Algebraic Field Extensions

score 3.2k · Answer 1 · 2026-04-12 07:38:54

3.2k

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Transitivity of Algebraic Field Extensions

Published on 12 Apr 2026 - 7:38

score 444 · Answer 2 · 2026-04-12 16:38:44

444

Views

A reference/proof request for a result on real radical extensions

Published on 12 Apr 2026 - 16:38

score 111 · Answer 3 · 2026-04-14 20:08:57

111

Views

Can a metric space have a distance function that maps to any arbitrary ordered field other than the set of positive Real Numbers?

Published on 14 Apr 2026 - 20:08

score 72 · Answer 4 · 2026-04-14 22:20:30

72

Views

Algebraic extension over field $F$

Published on 14 Apr 2026 - 22:20

score 349 · Answer 5 · 2026-04-12 13:49:35

349

Views

Subfields of a splitting field using Galois correspondence

Published on 12 Apr 2026 - 13:49

score 1.1k · Answer 6 · 2026-04-11 20:36:48

1.1k

Views

Finding an isomorphism between these two finite fields

Published on 11 Apr 2026 - 20:36

score 722 · Answer 7 · 2026-04-12 07:59:46

722

Views

Question about embeddings in algebraically closed fields

Published on 12 Apr 2026 - 7:59

score 1.1k · Answer 8 · 2026-04-12 22:31:59

1.1k

Views

Using only the axioms of a field, prove that the additive identity in $\Bbb R$ is unique

Published on 12 Apr 2026 - 22:31

score 396 · Answer 9 · 2026-04-12 16:17:34

396

Views

Why is a Radical Extension finite?

Published on 12 Apr 2026 - 16:17

score 401 · Answer 10 · 2026-04-13 18:56:11

401

Views

Splitting field notation confusion

Published on 13 Apr 2026 - 18:56

score 26 · Answer 11 · 2026-04-13 13:38:43

26

Views

Representation of the adjunction $F(A)$ as a union $\bigcup_{A'\subseteq A}F(A')$

Published on 13 Apr 2026 - 13:38

score 99 · Answer 12 · 2026-03-25 10:35:00

99

Views

$E/F$ is an extension with radicals of order $n$

Published on 25 Mar 2026 - 10:35

score 387 · Answer 13 · 2026-04-17 03:07:48

387

Views

Two elements of $\mathbb F_{q^m}$ that share the same minimal polynomial over $\mathbb F_q$ have the same multiplicative order

Published on 17 Apr 2026 - 3:07

score 124 · Answer 14 · 2026-04-15 20:27:54

124

Views

Cardinality of a $\mathbb Q$ basis for $\mathbb C$, assuming the continuum hypothesis

Published on 15 Apr 2026 - 20:27

score 68 · Answer 15 · 2026-04-15 16:23:34

68

Views

$T^n - T + 1$ is separable over a field $k$ unless $\mathrm{char}(k)$ divides $n^n - (n - 1)^{n - 1}$ for all $n \geq 2$

Published on 15 Apr 2026 - 16:23

List Question

Transitivity of Algebraic Field Extensions

A reference/proof request for a result on real radical extensions

Can a metric space have a distance function that maps to any arbitrary ordered field other than the set of positive Real Numbers?

Algebraic extension over field $F$

Subfields of a splitting field using Galois correspondence

Finding an isomorphism between these two finite fields

Question about embeddings in algebraically closed fields

Using only the axioms of a field, prove that the additive identity in $\Bbb R$ is unique

Why is a Radical Extension finite?

Splitting field notation confusion

Representation of the adjunction $F(A)$ as a union $\bigcup_{A'\subseteq A}F(A')$

$E/F$ is an extension with radicals of order $n$

Two elements of $\mathbb F_{q^m}$ that share the same minimal polynomial over $\mathbb F_q$ have the same multiplicative order

Cardinality of a $\mathbb Q$ basis for $\mathbb C$, assuming the continuum hypothesis

$T^n - T + 1$ is separable over a field $k$ unless $\mathrm{char}(k)$ divides $n^n - (n - 1)^{n - 1}$ for all $n \geq 2$

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