Question

Why is a positive cone defined the way it is?

score 1.4k · Answer 1 · 2026-05-11 09:31:15

1.4k

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Why is a positive cone defined the way it is?

Published on 11 May 2026 - 9:31

score 131 · Answer 2 · 2026-04-13 12:00:04

131

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Is this polynomial in a finite field irreducible?

Published on 13 Apr 2026 - 12:00

score 75 · Answer 3 · 2026-04-15 14:49:23

75

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If K is an extension field of F and if $a \in K$ such that $[F(a):F]$ is odd, show that $F(a)=F(a^2)$.

Published on 15 Apr 2026 - 14:49

score 150 · Answer 4 · 2026-04-11 08:36:16

150

Views

Extending an automorphism of finite order of $A \subset \mathbb{C}$ to an automorphism of the same order

Published on 11 Apr 2026 - 8:36

score 106 · Answer 5 · 2026-04-17 01:26:50

$F(\alpha_1, \alpha_2, \dots ,\alpha_k) = \left\{\sum_{i=1}^m b_i \alpha_1^{n_{1_i}} \cdots \alpha_k^{n_{k_i}} : \, n_j \in \mathbb{Z}\right\}$?

score 678 · Answer 6 · 2026-04-11 19:28:45

678

Views

Finding one primitive element for splitting field of polynomial over $\mathbb{Q}$

Published on 11 Apr 2026 - 19:28

score 231 · Answer 7 · 2026-04-14 17:48:24

231

Views

how to determine Galois group of the $X^6-10X^3+1$ over rational field Q

Published on 14 Apr 2026 - 17:48

score 507 · Answer 8 · 2026-04-16 06:47:24

507

Views

How to find the irreducible polynomial in Q[ζ3]?

Published on 16 Apr 2026 - 6:47

score 67 · Answer 9 · 2026-04-15 22:54:06

67

Views

reducible polynomial over the finite field of order 11

Published on 15 Apr 2026 - 22:54

score 2.3k · Answer 10 · 2026-04-15 13:24:13

2.3k

Views

Why is the set of algebraic elements a field?

Published on 15 Apr 2026 - 13:24

score 368 · Answer 11 · 2026-05-11 09:32:57

368

Views

Sums of squares in characteristic 3

Published on 11 May 2026 - 9:32

score 94 · Answer 12 · 2026-04-14 23:24:47

94

Views

Finding the Galois group of $f(t)=t^{3}-4t+2$ over $\mathbb{Q}$

Published on 14 Apr 2026 - 23:24

score 68 · Answer 13 · 2026-03-26 08:00:29

68

Views

Is $e^x$ to $x^n$ as $x^n$ is to $nx$ as $nx$ is to $n+x$?

Published on 26 Mar 2026 - 8:00

score 193 · Answer 14 · 2026-04-18 15:10:51

193

Views

subfield of Archimedean ordered field that is isomorphic to $\mathbb{Q}$ is dense in the field

Published on 18 Apr 2026 - 15:10

score 229 · Answer 15 · 2026-04-15 09:23:46

229

Views

Prove $f$ is irreducible if and only if $f=x-\alpha$ in algebraic closed field

Published on 15 Apr 2026 - 9:23

List Question

Why is a positive cone defined the way it is?

Is this polynomial in a finite field irreducible?

If K is an extension field of F and if $a \in K$ such that $[F(a):F]$ is odd, show that $F(a)=F(a^2)$.

Extending an automorphism of finite order of $A \subset \mathbb{C}$ to an automorphism of the same order

$F(\alpha_1, \alpha_2, \dots ,\alpha_k) = \left\{\sum_{i=1}^m b_i \alpha_1^{n_{1_i}} \cdots \alpha_k^{n_{k_i}} : \, n_j \in \mathbb{Z}\right\}$?

Finding one primitive element for splitting field of polynomial over $\mathbb{Q}$

how to determine Galois group of the $X^6-10X^3+1$ over rational field Q

How to find the irreducible polynomial in Q[ζ3]?

reducible polynomial over the finite field of order 11

Why is the set of algebraic elements a field?

Sums of squares in characteristic 3

Finding the Galois group of $f(t)=t^{3}-4t+2$ over $\mathbb{Q}$

Is $e^x$ to $x^n$ as $x^n$ is to $nx$ as $nx$ is to $n+x$?

subfield of Archimedean ordered field that is isomorphic to $\mathbb{Q}$ is dense in the field

Prove $f$ is irreducible if and only if $f=x-\alpha$ in algebraic closed field

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