Question

Whats wrong with this 3d extension of the reals?

score 127 · Answer 1 · 2026-03-31 11:35:26

127

Views

Whats wrong with this 3d extension of the reals?

Published on 31 Mar 2026 - 11:35

score 149 · Answer 2 · 2020-06-14 08:54:02

149

Views

Let L be an algebraic extension of K. Show that any algebraic closure of L is also an algebraic closure of K.

Published on 14 Jun 2020 - 8:54

score 99 · Answer 3 · 2020-06-15 12:01:43

99

Views

Calculating the Galois group of $f = X^4+20$.

Published on 15 Jun 2020 - 12:01

score 187 · Answer 4 · 2020-06-15 18:40:30

187

Views

Why doesn't adjoining $\sqrt{3}$ to $\mathbb{F}_{11}$ return $\mathbb{F}_{11}$?

Published on 15 Jun 2020 - 18:40

score 293 · Answer 5 · 2020-06-15 22:30:33

293

Views

Minimal polynomial for $\mathbb{Q}(\sqrt{5}+\sqrt{3})$ over $\mathbb{Q}(\sqrt{10})$

Published on 15 Jun 2020 - 22:30

score 121 · Answer 6 · 2020-06-16 18:27:02

121

Views

Show that $[\Bbb Q(a):\Bbb Q]=2$

Published on 16 Jun 2020 - 18:27

score 172 · Answer 7 · 2026-03-26 21:14:03

172

Views

Verify fundamental theorem of Galois for splitting field of $X^4\pm2\in\mathbb {Q}[X]$

Published on 26 Mar 2026 - 21:14

score 189 · Answer 8 · 2026-03-26 21:14:05

189

Views

Galois correspondence of subgroups of $D_4$ with subfields of $\mathbb Q (\sqrt[4]{2},i)$

Published on 26 Mar 2026 - 21:14

score 92 · Answer 9 · 2026-03-25 14:26:03

92

Views

Element of group ring not invertible, but invertible in bigger group ring.

Published on 25 Mar 2026 - 14:26

score 346 · Answer 10 · 2026-03-29 03:35:52

346

Views

How to express the field $\mathbb Q(\sqrt[3]{2},\sqrt[3]{3})$ as a simple extension of $\mathbb Q$?

Published on 29 Mar 2026 - 3:35

score 70 · Answer 11 · 2020-06-21 19:32:23

70

Views

is there a ring $K$ such that it does not contain any prime belong to $\mathbb{Z}$?

Published on 21 Jun 2020 - 19:32

score 170 · Answer 12 · 2026-03-26 16:06:31

170

Views

what was/is motivation and short history/story behind "class number"?

Published on 26 Mar 2026 - 16:06

score 41 · Answer 13 · 2020-06-25 13:28:12

41

Views

Finding an algebraic number $z \in \mathbb{C}$ with Galois group over $\mathbb{Q}(\sqrt{5})$ equal to $\mathbb{Z}/7\mathbb{Z}$

Published on 25 Jun 2020 - 13:28

score 67 · Answer 14 · 2020-06-28 01:33:29

67

Views

Is Q isomorphic to Q(π) as fields?

Published on 28 Jun 2020 - 1:33

score 26 · Answer 15 · 2026-04-02 18:19:12

26

Views

Extension of $\mathbb{Q}$ by algebraic eigenvalues of commuting operators is finite

Published on 02 Apr 2026 - 18:19

List Question

Whats wrong with this 3d extension of the reals?

Let L be an algebraic extension of K. Show that any algebraic closure of L is also an algebraic closure of K.

Calculating the Galois group of $f = X^4+20$.

Why doesn't adjoining $\sqrt{3}$ to $\mathbb{F}_{11}$ return $\mathbb{F}_{11}$?

Minimal polynomial for $\mathbb{Q}(\sqrt{5}+\sqrt{3})$ over $\mathbb{Q}(\sqrt{10})$

Show that $[\Bbb Q(a):\Bbb Q]=2$

Verify fundamental theorem of Galois for splitting field of $X^4\pm2\in\mathbb {Q}[X]$

Galois correspondence of subgroups of $D_4$ with subfields of $\mathbb Q (\sqrt[4]{2},i)$

Element of group ring not invertible, but invertible in bigger group ring.

How to express the field $\mathbb Q(\sqrt[3]{2},\sqrt[3]{3})$ as a simple extension of $\mathbb Q$?

is there a ring $K$ such that it does not contain any prime belong to $\mathbb{Z}$?

what was/is motivation and short history/story behind "class number"?

Finding an algebraic number $z \in \mathbb{C}$ with Galois group over $\mathbb{Q}(\sqrt{5})$ equal to $\mathbb{Z}/7\mathbb{Z}$

Is Q isomorphic to Q(π) as fields?

Extension of $\mathbb{Q}$ by algebraic eigenvalues of commuting operators is finite

Trending Questions

Popular # Hahtags

Popular Questions