List questions from extension-field

Published on 02 Apr 2026 - 17:31

136

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Why $A^L$ is a split semi-simple $L$-algebra?

Published on 04 Apr 2026 - 0:56

815

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Minimal polynomial of an element over a subfield when the degrees of extensions are coprime

Published on 05 Jan 2017 - 8:53

59

Views

Proof of Finiteness of a simple extension field

Published on 07 Jan 2017 - 19:52

1.5k

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Distinguishing field extensions of $\mathbb{Q}$ of degree $3$.

Published on 09 Jan 2017 - 15:34

103

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fieldtheory questions

Published on 10 Jan 2017 - 12:58

55

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A question concerning finite extension field $E$ of perfect field $F$.

Published on 27 Mar 2026 - 4:17

116

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order which we add elements to field extension doesn't matter

Published on 11 Jan 2017 - 17:19

66

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$E\otimes _FK$ is a simple ring or not?

Published on 04 Apr 2026 - 2:53

125

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Irreducibles in $\mathbb{Q}$ and Inverses of Quadratics in $\mathbb{Q}(\alpha)$

Published on 02 Apr 2026 - 19:14

222

Views

Help with intermediate fields and galois group

Published on 13 Jan 2017 - 21:39

93

Views

Existence of primitive element in a field extension

Published on 13 Jan 2017 - 23:09

432

Views

Showing that $[\mathbb{Q}(\sqrt[\leftroot{-2}\uproot{2}4]{2}):\mathbb{Q}(\sqrt{2})]=2$

Published on 17 Jan 2017 - 21:53

134

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$y$ trancendental over $K$, then $y^n$ transcendental over $K$

Published on 03 Apr 2026 - 21:37

832

Views

Transitivity of Algebraic Field Extensions (explicit)

Published on 18 Jan 2017 - 17:58

List Question

Number of elements of an extension

Why $A^L$ is a split semi-simple $L$-algebra?

Minimal polynomial of an element over a subfield when the degrees of extensions are coprime

Proof of Finiteness of a simple extension field

Distinguishing field extensions of $\mathbb{Q}$ of degree $3$.

fieldtheory questions

A question concerning finite extension field $E$ of perfect field $F$.

order which we add elements to field extension doesn't matter

$E\otimes _FK$ is a simple ring or not?

Irreducibles in $\mathbb{Q}$ and Inverses of Quadratics in $\mathbb{Q}(\alpha)$

Help with intermediate fields and galois group

Existence of primitive element in a field extension

Showing that $[\mathbb{Q}(\sqrt[\leftroot{-2}\uproot{2}4]{2}):\mathbb{Q}(\sqrt{2})]=2$

$y$ trancendental over $K$, then $y^n$ transcendental over $K$

Transitivity of Algebraic Field Extensions (explicit)

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