List questions from extension-field

Published on 27 Oct 2015 - 12:02

40

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minimal polynomial and relevance

Published on 27 Oct 2015 - 17:44

41

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calculating $[\mathbb{Q}(2^{1/4})(\sqrt{5} ) ] : \mathbb{Q}(\sqrt{5}]$

Published on 27 Oct 2015 - 18:46

174

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Field extension formula

Published on 28 Oct 2015 - 15:35

212

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Application of Tower Law

Published on 28 Oct 2015 - 18:33

45

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show if $X:Z$ and $Y:X$ are algebraic extensions then $Y:Z$ is algebraic

Published on 28 Oct 2015 - 19:08

145

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Is $\sqrt{5}$ in $\mathbb{Q}(e^{2\pi i /3})$

Published on 29 Oct 2015 - 10:36

59

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find out what $[\mathbb{Q}(a^2 + 2)/ \mathbb{Q} ] $ when $a$ satisfies $\alpha^6 - 3 \alpha^3 - 6 = 0$

Published on 09 Apr 2026 - 0:00

220

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finitely generated and algebraic and a finite extension

Published on 29 Oct 2015 - 20:52

78

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Algebraic solutions of a set of simultaneous polynomial equations, with nonzero Jacobian.

Published on 31 Oct 2015 - 12:31

556

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Proving that the maximal abelian extension contains all abelian extensions

Published on 04 Apr 2026 - 0:18

49

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Is the extension $\mathbb{F}(t^2) \subset \mathbb{F}(t)$ algebraic?

Published on 31 Oct 2015 - 17:18

459

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Minimal polynomial of a field extension

Published on 01 Nov 2015 - 11:17

187

Views

Monic irreducible polynomial

Published on 06 Apr 2026 - 0:14

72

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Looking $L$ as a field of fractions if $L\mid K(t_1,\ldots,t_m)$ is certain field extension

Published on 02 Nov 2015 - 17:53

List Question

A finite extension has a splitting field extension

minimal polynomial and relevance

calculating $[\mathbb{Q}(2^{1/4})(\sqrt{5} ) ] : \mathbb{Q}(\sqrt{5}]$

Field extension formula

Application of Tower Law

show if $X:Z$ and $Y:X$ are algebraic extensions then $Y:Z$ is algebraic

Is $\sqrt{5}$ in $\mathbb{Q}(e^{2\pi i /3})$

find out what $[\mathbb{Q}(a^2 + 2)/ \mathbb{Q} ] $ when $a$ satisfies $\alpha^6 - 3 \alpha^3 - 6 = 0$

finitely generated and algebraic and a finite extension

Algebraic solutions of a set of simultaneous polynomial equations, with nonzero Jacobian.

Proving that the maximal abelian extension contains all abelian extensions

Is the extension $\mathbb{F}(t^2) \subset \mathbb{F}(t)$ algebraic?

Minimal polynomial of a field extension

Monic irreducible polynomial

Looking $L$ as a field of fractions if $L\mid K(t_1,\ldots,t_m)$ is certain field extension

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