Question

Kernel of the map $D^2+aD+b : k[[X]] \to k[[X]]$ , where $D :k[[X]] \to k[[X]]$ is the usual derivative map

score 112 · Answer 1 · 2026-03-26 03:10:16

112

Views

Kernel of the map $D^2+aD+b : k[[X]] \to k[[X]]$ , where $D :k[[X]] \to k[[X]]$ is the usual derivative map

Published on 26 Mar 2026 - 3:10

score 409 · Answer 2 · 2018-03-20 21:14:49

409

Views

What is the degree of the extension of the field of rational functions?

Published on 20 Mar 2018 - 21:14

score 3.9k · Answer 3 · 2026-03-25 16:13:31

3.9k

Views

Why is matrix not a different field altogether?

Published on 25 Mar 2026 - 16:13

score 118 · Answer 4 · 2026-03-25 16:14:00

118

Views

Is the quotient field of $R[a]$ equal to $R(a)$?

Published on 25 Mar 2026 - 16:14

score 476 · Answer 5 · 2026-03-26 22:36:54

476

Views

trying to understand the relation between quotient rings and Field extensions

Published on 26 Mar 2026 - 22:36

score 446 · Answer 6 · 2018-03-21 22:30:48

446

Views

Norm and trace proof in Lang

Published on 21 Mar 2018 - 22:30

score 123 · Answer 7 · 2026-03-26 22:36:57

123

Views

Describing subfields of $\mathbb{Z}_2(t)$

Published on 26 Mar 2026 - 22:36

score 299 · Answer 8 · 2026-03-26 22:32:48

299

Views

Finding the Galois group of $x^3-2$ over $\mathbb{Q}$.

Published on 26 Mar 2026 - 22:32

score 461 · Answer 9 · 2026-03-25 06:06:59

461

Views

splitting field of $(x^2-3)(x^2-5)$ over $Q(\sqrt{ 2})$. Am I thinking of this correctly?

Published on 25 Mar 2026 - 6:06

score 231 · Answer 10 · 2026-03-25 16:02:18

231

Views

Is $i\sqrt[4]{10} \in \Bbb Q(\sqrt[4]{10})$ or is my proof wrong?

Published on 25 Mar 2026 - 16:02

score 107 · Answer 11 · 2026-03-25 05:59:42

107

Views

How much do you need to prove when finding splitting fields?

Published on 25 Mar 2026 - 5:59

score 28 · Answer 12 · 2018-03-23 11:50:41

28

Views

$n$-th roots of unity in general field

Published on 23 Mar 2018 - 11:50

score 65 · Answer 13 · 2026-03-25 07:59:56

65

Views

What is the difference between $\mathbb{Q}(\alpha,i\alpha)$ and $\mathbb{Q}(\alpha,i)$? Where $\alpha = \sqrt[4]{10}$.

Published on 25 Mar 2026 - 7:59

score 203 · Answer 14 · 2026-03-26 04:32:40

203

Views

Is it possible that there exists a non-bijective homomorphism between two isomorphic vector spaces or fields?

Published on 26 Mar 2026 - 4:32

score 79 · Answer 15 · 2026-03-25 09:32:42

79

Views

Why does the computation make sense?

Published on 25 Mar 2026 - 9:32

List Question

Kernel of the map $D^2+aD+b : k[[X]] \to k[[X]]$ , where $D :k[[X]] \to k[[X]]$ is the usual derivative map

What is the degree of the extension of the field of rational functions?

Why is matrix not a different field altogether?

Is the quotient field of $R[a]$ equal to $R(a)$?

trying to understand the relation between quotient rings and Field extensions

Norm and trace proof in Lang

Describing subfields of $\mathbb{Z}_2(t)$

Finding the Galois group of $x^3-2$ over $\mathbb{Q}$.

splitting field of $(x^2-3)(x^2-5)$ over $Q(\sqrt{ 2})$. Am I thinking of this correctly?

Is $i\sqrt[4]{10} \in \Bbb Q(\sqrt[4]{10})$ or is my proof wrong?

How much do you need to prove when finding splitting fields?

$n$-th roots of unity in general field

What is the difference between $\mathbb{Q}(\alpha,i\alpha)$ and $\mathbb{Q}(\alpha,i)$? Where $\alpha = \sqrt[4]{10}$.

Is it possible that there exists a non-bijective homomorphism between two isomorphic vector spaces or fields?

Why does the computation make sense?

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