Question

Computing dimension of the splitting field.

score 89 · Answer 1 · 2026-03-20 01:08:20

89

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Computing dimension of the splitting field.

Published on 20 Mar 2026 - 1:08

score 270 · Answer 2 · 2026-03-24 20:47:47

270

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Why is $\mathbb{Q}(\sqrt{2})$ not isomorphic to $\mathbb{Q}(\sqrt{3})$?

Published on 24 Mar 2026 - 20:47

score 220 · Answer 3 · 2018-01-23 19:23:44

220

Views

Is $\phi: \mathbb{F_p}(X) \rightarrow \mathbb{F_p}(X), a \mapsto a$ for $a \in \mathbb{F_p}$ and $X \mapsto X+1$ a field homomorphism?

Published on 23 Jan 2018 - 19:23

score 41 · Answer 4 · 2018-01-23 20:27:01

41

Views

Prove that $a$ is an algebraic using a set $\{1,a,a^2,a^3,a^4\}$

Published on 23 Jan 2018 - 20:27

score 95 · Answer 5 · 2026-03-22 08:59:19

95

Views

Kähler Differential Of Submodules

Published on 22 Mar 2026 - 8:59

score 1.6k · Answer 6 · 2026-03-17 23:01:59

1.6k

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Does the field with 27 elements contain a subfield with 9 elements?

Published on 17 Mar 2026 - 23:01

score 86 · Answer 7 · 2018-01-26 11:25:11

86

Views

Finding the Galois group of $\mathbb{Q}(\alpha,i)|\mathbb{Q}$, whereby $\alpha^2 = \frac{3}{2}+\frac{1}{2}i\sqrt7$

Published on 26 Jan 2018 - 11:25

score 103 · Answer 8 · 2018-01-26 19:54:31

103

Views

minimal polynomial of $f (a)/g (a)$, given the minimal polynomial of a

Published on 26 Jan 2018 - 19:54

score 1.1k · Answer 9 · 2018-01-27 19:35:13

1.1k

Views

If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$

Published on 27 Jan 2018 - 19:35

score 269 · Answer 10 · 2018-01-28 11:26:08

269

Views

Simple question on field extensions of separably closed fields

Published on 28 Jan 2018 - 11:26

score 931 · Answer 11 · 2026-03-19 23:54:34

931

Views

non separable, non normal, finite field extension

Published on 19 Mar 2026 - 23:54

score 819 · Answer 12 · 2026-03-20 14:06:04

819

Views

Proof verification: The degree of a splitting field of a polynomial $f$ divides deg($f$) factorial

Published on 20 Mar 2026 - 14:06

score 141 · Answer 13 · 2026-03-17 19:34:42

141

Views

Is there any intermediate fields between these two fields？

Published on 17 Mar 2026 - 19:34

score 94 · Answer 14 · 2026-03-22 13:31:41

94

Views

Cyclotomic Field Extension over arbitrary Field

Published on 22 Mar 2026 - 13:31

score 41 · Answer 15 · 2018-01-31 02:14:32

41

Views

Constructing a vector space of dimension $2$ for a cyclotomic field

Published on 31 Jan 2018 - 2:14

List Question

Computing dimension of the splitting field.

Why is $\mathbb{Q}(\sqrt{2})$ not isomorphic to $\mathbb{Q}(\sqrt{3})$?

Is $\phi: \mathbb{F_p}(X) \rightarrow \mathbb{F_p}(X), a \mapsto a$ for $a \in \mathbb{F_p}$ and $X \mapsto X+1$ a field homomorphism?

Prove that $a$ is an algebraic using a set $\{1,a,a^2,a^3,a^4\}$

Kähler Differential Of Submodules

Does the field with 27 elements contain a subfield with 9 elements?

Finding the Galois group of $\mathbb{Q}(\alpha,i)|\mathbb{Q}$, whereby $\alpha^2 = \frac{3}{2}+\frac{1}{2}i\sqrt7$

minimal polynomial of $f (a)/g (a)$, given the minimal polynomial of a

If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$

Simple question on field extensions of separably closed fields

non separable, non normal, finite field extension

Proof verification: The degree of a splitting field of a polynomial $f$ divides deg($f$) factorial

Is there any intermediate fields between these two fields？

Cyclotomic Field Extension over arbitrary Field

Constructing a vector space of dimension $2$ for a cyclotomic field

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