Question

over a Field extension

score 54 · Answer 1 · 2026-04-17 01:14:23

54

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over a Field extension

Published on 17 Apr 2026 - 1:14

score 83 · Answer 2 · 2026-04-17 02:59:14

83

Views

Finding integer such that $\mathbb Q(\sqrt{a+b\sqrt{5}}) =Q(\sqrt{5})(\sqrt{c})$

Published on 17 Apr 2026 - 2:59

score 53 · Answer 3 · 2026-04-16 21:43:17

53

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Is $\mathbb{Q}(\sqrt(2)\sqrt[3](5) \subset \mathbb{Q}(\sqrt{2}+\sqrt[3]{5})$?

Published on 16 Apr 2026 - 21:43

score 248 · Answer 4 · 2026-04-14 12:10:54

248

Views

Under $ad-bc=1$, is every element of a finite field of the form $a^2+b^2+c^2+d^2$?

Published on 14 Apr 2026 - 12:10

score 46 · Answer 5 · 2026-04-16 04:53:09

46

Views

Convergence of $\left \{c^{q^k}\right \}$ with finite residue field with $q$ elements

Published on 16 Apr 2026 - 4:53

score 44 · Answer 6 · 2026-04-10 06:43:15

44

Views

understanding over the proof of a theorem

Published on 10 Apr 2026 - 6:43

score 38 · Answer 7 · 2026-04-14 01:23:12

38

Views

trouble identifying number of elements in small Fields adjoin polynomial solns

Published on 14 Apr 2026 - 1:23

score 97 · Answer 8 · 2026-04-13 06:03:26

97

Views

Examples proving the independence of field axioms

Published on 13 Apr 2026 - 6:03

score 90 · Answer 9 · 2026-04-11 19:58:16

90

Views

How to find $\mathbb Q(\zeta)^H?$

Published on 11 Apr 2026 - 19:58

score 73 · Answer 10 · 2026-04-16 21:09:10

73

Views

Reference for: Every element of a finite field is the sum of two squares.

Published on 16 Apr 2026 - 21:09

score 36 · Answer 11 · 2026-04-12 22:33:24

36

Views

Is the degree of the extension the same as the size of the Galois group of the polynomial?

Published on 12 Apr 2026 - 22:33

score 106 · Answer 12 · 2026-04-12 05:04:21

106

Views

Complex numbers $z=a+ib$, what is the operation between $i$ and $b$

Published on 12 Apr 2026 - 5:04

score 67 · Answer 13 · 2026-04-17 05:52:14

67

Views

When $\mathbb Z_3[x] / \langle x^2+1\rangle$, why $(2x^2 + 2x + 1 + \langle x^2+1\rangle) = (2x + 2 + \langle x^2+1\rangle)$?

Published on 17 Apr 2026 - 5:52

score 63 · Answer 14 · 2026-04-15 22:25:23

63

Views

About the number of embeddings of a finite extension $K$ of $F$ into the algebraic closure of $F$.

Published on 15 Apr 2026 - 22:25

score 24 · Answer 15 · 2026-05-11 01:53:19

24

Views

Does a polynomial $P(X,Y)$ that specializes to a polynomial $P(x_0,Y)$ with distincts roots in $\overline{k}$ has distincts roots in $\overline{k(X)}$

Published on 11 May 2026 - 1:53

List Question

over a Field extension

Finding integer such that $\mathbb Q(\sqrt{a+b\sqrt{5}}) =Q(\sqrt{5})(\sqrt{c})$

Is $\mathbb{Q}(\sqrt(2)\sqrt[3](5) \subset \mathbb{Q}(\sqrt{2}+\sqrt[3]{5})$?

Under $ad-bc=1$, is every element of a finite field of the form $a^2+b^2+c^2+d^2$?

Convergence of $\left \{c^{q^k}\right \}$ with finite residue field with $q$ elements

understanding over the proof of a theorem

trouble identifying number of elements in small Fields adjoin polynomial solns

Examples proving the independence of field axioms

How to find $\mathbb Q(\zeta)^H?$

Reference for: Every element of a finite field is the sum of two squares.

Is the degree of the extension the same as the size of the Galois group of the polynomial?

Complex numbers $z=a+ib$, what is the operation between $i$ and $b$

When $\mathbb Z_3[x] / \langle x^2+1\rangle$, why $(2x^2 + 2x + 1 + \langle x^2+1\rangle) = (2x + 2 + \langle x^2+1\rangle)$?

About the number of embeddings of a finite extension $K$ of $F$ into the algebraic closure of $F$.

Does a polynomial $P(X,Y)$ that specializes to a polynomial $P(x_0,Y)$ with distincts roots in $\overline{k}$ has distincts roots in $\overline{k(X)}$

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