List questions from extension-field

Published on 16 Apr 2026 - 13:44

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char$(K)=0$ then $K(x^{2}) \cap K(x^{2}-x)=K$

Published on 17 Apr 2026 - 10:10

253

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Prove $R$ is a field.

Published on 14 Apr 2026 - 21:46

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If Q(a,b) is a field extension, can we always choose an equivalent extension Q(c) such that c=a+b?

Published on 17 Apr 2026 - 6:01

133

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Equivalences Galois extension

Published on 12 Apr 2026 - 20:56

82

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Interpreting $\sqrt{2}$

Published on 14 Apr 2026 - 22:45

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$B/K$ is a field extension of degree 1 implies $B = K$?

Published on 15 Apr 2026 - 4:18

153

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Product field of intermediate fields is field extension

Published on 15 Apr 2026 - 9:17

115

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Extension Field of $e^{\frac{i\pi}{5}}$

Published on 12 Apr 2026 - 12:38

45

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degree of [$\mathbb Z_2[x]/f\mathbb Z_2[x]: \mathbb Z_2$]

Published on 14 Apr 2026 - 12:38

203

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Automorphism group of the Galois Group

Published on 12 Apr 2026 - 23:36

67

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Ring Extension: Mapping: $ \mathbb Q[\sqrt d] \rightarrow \mathbb Q$

Published on 16 Apr 2026 - 4:01

1.5k

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Determining automorphisms of this extension

Published on 14 Apr 2026 - 12:43

42

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Systematic way of expressing field extensions

Published on 12 Apr 2026 - 3:49

720

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Which cyclotomic fields are different?

Published on 25 Mar 2026 - 22:24

List Question

Show that $\mathbb{Q}(\sqrt{-14},\sqrt{-2\sqrt{2}-1})$ has degree 8 over $\mathbb{Q}$

char$(K)=0$ then $K(x^{2}) \cap K(x^{2}-x)=K$

Prove $R$ is a field.

If Q(a,b) is a field extension, can we always choose an equivalent extension Q(c) such that c=a+b?

Equivalences Galois extension

Interpreting $\sqrt{2}$

$B/K$ is a field extension of degree 1 implies $B = K$?

Product field of intermediate fields is field extension

Extension Field of $e^{\frac{i\pi}{5}}$

degree of [$\mathbb Z_2[x]/f\mathbb Z_2[x]: \mathbb Z_2$]

Automorphism group of the Galois Group

Ring Extension: Mapping: $ \mathbb Q[\sqrt d] \rightarrow \mathbb Q$

Determining automorphisms of this extension

Systematic way of expressing field extensions

Which cyclotomic fields are different?

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