Question

On a special kind of six dimensional vector subspace of $\mathbb C^9$ related to the primitive $9$-th root of unity

score 84 · Answer 1 · 2026-03-25 01:20:22

84

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On a special kind of six dimensional vector subspace of $\mathbb C^9$ related to the primitive $9$-th root of unity

Published on 25 Mar 2026 - 1:20

score 297 · Answer 2 · 2018-12-13 14:18:06

297

Views

f(x) has a repeated root if and only if . $<f(x)>+<f'(x)> \neq <1>$

Published on 13 Dec 2018 - 14:18

score 137 · Answer 3 · 2018-12-13 18:37:03

137

Views

$K$ finite field, $P'(X) = 0$ then P is reductible

Published on 13 Dec 2018 - 18:37

score 738 · Answer 4 · 2026-03-27 14:59:03

738

Views

Determine the fixed field of a field of rational functions and its Galois group.

Published on 27 Mar 2026 - 14:59

score 345 · Answer 5 · 2026-03-26 07:35:40

345

Views

Can we find all the irreducible polynomials of $F_2[x]$?

Published on 26 Mar 2026 - 7:35

score 178 · Answer 6 · 2018-12-14 14:37:08

178

Views

Characteristic of a field is not equal to zero

Published on 14 Dec 2018 - 14:37

score 44 · Answer 7 · 2026-03-27 07:14:09

44

Views

Have these Generalised Fermat Curves been studied before?

Published on 27 Mar 2026 - 7:14

score 556 · Answer 8 · 2018-12-15 17:11:15

556

Views

Do the field of complex numbers arise necessarily and uniquely as the only field of pairs of ordered real numbers retaining some desired proprieties?

Published on 15 Dec 2018 - 17:11

score 186 · Answer 9 · 2026-03-25 17:22:49

186

Views

How do you find $x$ such as $y \leq \sqrt{2x-x^2}$?

Published on 25 Mar 2026 - 17:22

score 121 · Answer 10 · 2026-03-27 02:39:15

121

Views

$f^n+g^n=h^2\implies f,g,h$ all constant

Published on 27 Mar 2026 - 2:39

score 228 · Answer 11 · 2026-03-26 12:53:46

228

Views

Why $\mathbb{C}(f(t),g(t))=\mathbb{C}(t)$ implies that $\gcd(f(t)-a,g(t)-b)=t-c$, for some $a,b,c \in \mathbb{C}$?

Published on 26 Mar 2026 - 12:53

score 594 · Answer 12 · 2026-04-01 18:50:18

594

Views

Cyclic Field Extension of Local Field

Published on 01 Apr 2026 - 18:50

score 483 · Answer 13 · 2018-12-17 05:52:33

483

Views

Doubt in proof of "if $F$ is a real closed field then $F(\sqrt{-1})$ is algebraically closed".

Published on 17 Dec 2018 - 5:52

score 45 · Answer 14 · 2018-12-17 21:55:46

45

Views

For $a \in K$, is $N_{L/K}(a) = a^{[L:K]}$ or is it rather $a^{[L:K]_s}$?

Published on 17 Dec 2018 - 21:55

score 121 · Answer 15 · 2026-03-26 01:29:06

121

Views

Totally Tamely Ramified Field Extension

Published on 26 Mar 2026 - 1:29

List Question

On a special kind of six dimensional vector subspace of $\mathbb C^9$ related to the primitive $9$-th root of unity

f(x) has a repeated root if and only if . $<f(x)>+<f'(x)> \neq <1>$

$K$ finite field, $P'(X) = 0$ then P is reductible

Determine the fixed field of a field of rational functions and its Galois group.

Can we find all the irreducible polynomials of $F_2[x]$?

Characteristic of a field is not equal to zero

Have these Generalised Fermat Curves been studied before?

Do the field of complex numbers arise necessarily and uniquely as the only field of pairs of ordered real numbers retaining some desired proprieties?

How do you find $x$ such as $y \leq \sqrt{2x-x^2}$?

$f^n+g^n=h^2\implies f,g,h$ all constant

Why $\mathbb{C}(f(t),g(t))=\mathbb{C}(t)$ implies that $\gcd(f(t)-a,g(t)-b)=t-c$, for some $a,b,c \in \mathbb{C}$?

Cyclic Field Extension of Local Field

Doubt in proof of "if $F$ is a real closed field then $F(\sqrt{-1})$ is algebraically closed".

For $a \in K$, is $N_{L/K}(a) = a^{[L:K]}$ or is it rather $a^{[L:K]_s}$?

Totally Tamely Ramified Field Extension

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