Question

Subfields of $\mathbb{C}$ isomorphic to $\mathbb{R}$

score 822 · Answer 1 · 2016-08-11 07:06:08

822

Views

Subfields of $\mathbb{C}$ isomorphic to $\mathbb{R}$

Published on 11 Aug 2016 - 7:06

score 106 · Answer 2 · 2016-08-12 00:39:47

106

Views

If $A$ is algebraically closed in $B$, when $Q(A)$ is algebraically closed in $Q(B)$?

Published on 12 Aug 2016 - 0:39

score 546 · Answer 3 · 2016-08-12 16:19:59

546

Views

Does there exist a Hamel basis $\mathcal B$ for $\mathbb R$ over $\mathbb Q$ such that $a,b \in \mathcal B \implies \dfrac ab \in \mathcal B$?

Published on 12 Aug 2016 - 16:19

score 394 · Answer 4 · 2016-08-13 13:01:28

394

Views

Derivations and algebraic extensions in characteristic zero

Published on 13 Aug 2016 - 13:01

score 130 · Answer 5 · 2026-04-03 05:51:33

130

Views

If $3$ divides $p^n - 1$ does $\mathbf{F}_{p^n}$ contain a primitive third root of unity?

Published on 03 Apr 2026 - 5:51

score 804 · Answer 6 · 2026-04-01 14:49:30

804

Views

Total orderings on $\mathbb{Q}(\sqrt2)$

Published on 01 Apr 2026 - 14:49

score 186 · Answer 7 · 2016-08-16 11:39:36

186

Views

A separable field extension of degree a product of two primes

Published on 16 Aug 2016 - 11:39

score 1.3k · Answer 8 · 2016-08-17 12:25:02

1.3k

Views

Degree of $\Bbb R$ over $\Bbb Q(B)$, where $B$ is a $\Bbb Q(a)$-basis $(a \in \{\sqrt 2, e\})$

Published on 17 Aug 2016 - 12:25

score 294 · Answer 9 · 2016-08-17 14:40:04

294

Views

Is there a subfield $F$ of $\Bbb R$ such that there is an embedding $F(x) \hookrightarrow F$?

Published on 17 Aug 2016 - 14:40

score 1.4k · Answer 10 · 2026-03-25 19:10:56

1.4k

Views

Is $\Bbb Q(\sqrt 2, e)$ a simple extension of $\Bbb Q$?

Published on 25 Mar 2026 - 19:10

score 76 · Answer 11 · 2016-08-19 09:03:10

76

Views

Sum, product and real part of numbers $z$ such that $\Bbb Q(z)/\Bbb Q$ is Galois.

Published on 19 Aug 2016 - 9:03

score 157 · Answer 12 · 2026-04-02 09:38:36

157

Views

Field extension $\mathbb{R}(x) \supseteq \mathbb{R}(x + \frac{1}{x})$

Published on 02 Apr 2026 - 9:38

score 711 · Answer 13 · 2016-08-19 16:01:16

711

Views

Isomorphism between $\Bbb R$ and $\Bbb R(X)$?

Published on 19 Aug 2016 - 16:01

score 3.7k · Answer 14 · 2026-03-26 13:30:32

3.7k

Views

Dirichlet characters and quadratic fields

Published on 26 Mar 2026 - 13:30

score 129 · Answer 15 · 2016-08-23 11:59:20

129

Views

When are extensions $k(x)/k(s)$ for points in the fiber of a closed point algebraic?

Published on 23 Aug 2016 - 11:59

List Question

Subfields of $\mathbb{C}$ isomorphic to $\mathbb{R}$

If $A$ is algebraically closed in $B$, when $Q(A)$ is algebraically closed in $Q(B)$?

Does there exist a Hamel basis $\mathcal B$ for $\mathbb R$ over $\mathbb Q$ such that $a,b \in \mathcal B \implies \dfrac ab \in \mathcal B$?

Derivations and algebraic extensions in characteristic zero

If $3$ divides $p^n - 1$ does $\mathbf{F}_{p^n}$ contain a primitive third root of unity?

Total orderings on $\mathbb{Q}(\sqrt2)$

A separable field extension of degree a product of two primes

Degree of $\Bbb R$ over $\Bbb Q(B)$, where $B$ is a $\Bbb Q(a)$-basis $(a \in \{\sqrt 2, e\})$

Is there a subfield $F$ of $\Bbb R$ such that there is an embedding $F(x) \hookrightarrow F$?

Is $\Bbb Q(\sqrt 2, e)$ a simple extension of $\Bbb Q$?

Sum, product and real part of numbers $z$ such that $\Bbb Q(z)/\Bbb Q$ is Galois.

Field extension $\mathbb{R}(x) \supseteq \mathbb{R}(x + \frac{1}{x})$

Isomorphism between $\Bbb R$ and $\Bbb R(X)$?

Dirichlet characters and quadratic fields

When are extensions $k(x)/k(s)$ for points in the fiber of a closed point algebraic?

Trending Questions

Popular # Hahtags

Popular Questions