List questions from extension-field

Published on 20 Mar 2014 - 15:59

212

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finite field extension problem

Published on 20 Mar 2014 - 16:21

67

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Tower rule for transcedence degree

Published on 23 Mar 2014 - 15:08

46

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Why is every monomorphism of E into $\overline{\mathbb{Q}}$ a $\mathbb Q$-monomorphism of E into $\overline{\mathbb{Q}}$?

Published on 24 Mar 2014 - 3:27

560

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Showing that $\mathbb{Q}(\zeta_p, \sqrt[p]{\ell}) = \mathbb{Q}(\zeta_p + \sqrt[p]{\ell})$ for $p,\ell$ primes.

Published on 26 Mar 2026 - 23:10

76

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For which $d\in\mathbb{Z}$, $\mathbb{Q}(\sqrt{d})$ primitive root of unity of order $p>2$ prime

Published on 24 Mar 2014 - 12:08

105

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Infinite field extension but algebraic subset

Published on 24 Mar 2014 - 19:33

828

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$\mathbb{Q}(\sqrt[3]{2})\cap\mathbb{Q}(\sqrt[3]{5})=\mathbb{Q}$?

Published on 27 Mar 2014 - 23:30

662

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$\mathbb{Q}(\sqrt[p]{q}) \neq \mathbb{Q}(\sqrt[p]{r})$ for $p,q,r$ primes and $q \neq r$.

Published on 28 Mar 2014 - 3:25

312

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Branch points lie in $\mathbb P^1\left(\overline{\mathbb Q}\right)$

Published on 28 Mar 2026 - 7:58

1k

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Extension Fields and Quotients

Published on 28 Mar 2014 - 22:01

4.7k

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Field extension of a finite field

Published on 29 Mar 2014 - 4:17

115

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Find extension of $\mathbb{Q}$ containing components of eigenvectors of a matrix

Published on 29 Mar 2014 - 17:46

176

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Analogy between the quaternion ring and extensions of the rationals

Published on 28 Mar 2026 - 8:35

116

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Why $K(u)$ is a field?

Published on 30 Mar 2014 - 20:48

List Question

Separable field extensions

finite field extension problem

Tower rule for transcedence degree

Why is every monomorphism of E into $\overline{\mathbb{Q}}$ a $\mathbb Q$-monomorphism of E into $\overline{\mathbb{Q}}$?

Showing that $\mathbb{Q}(\zeta_p, \sqrt[p]{\ell}) = \mathbb{Q}(\zeta_p + \sqrt[p]{\ell})$ for $p,\ell$ primes.

For which $d\in\mathbb{Z}$, $\mathbb{Q}(\sqrt{d})$ primitive root of unity of order $p>2$ prime

Infinite field extension but algebraic subset

$\mathbb{Q}(\sqrt[3]{2})\cap\mathbb{Q}(\sqrt[3]{5})=\mathbb{Q}$?

$\mathbb{Q}(\sqrt[p]{q}) \neq \mathbb{Q}(\sqrt[p]{r})$ for $p,q,r$ primes and $q \neq r$.

Branch points lie in $\mathbb P^1\left(\overline{\mathbb Q}\right)$

Extension Fields and Quotients

Field extension of a finite field

Find extension of $\mathbb{Q}$ containing components of eigenvectors of a matrix

Analogy between the quaternion ring and extensions of the rationals

Why $K(u)$ is a field?

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