List questions from extension-field

Published on 14 Feb 2016 - 2:46

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Geometric interpretation of different types of field extensions?

Published on 28 Mar 2026 - 5:22

56

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Field theory extensions.Proof

Published on 16 Feb 2016 - 21:26

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Show that every algebric extension over $\mathbb{R}$ has degree $1\ \text{or}\ 2$

Published on 17 Feb 2016 - 6:16

18

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a claim about extension of field

Published on 18 Mar 2026 - 23:11

56

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Union of infinite subfields of the complex plane

Published on 18 Feb 2016 - 16:39

89

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On calculating the restriction of the ideals in polynomial rings.

Published on 18 Feb 2016 - 22:33

222

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Understanding Proof that $\mathbb{Q} \left( \sqrt {2}\right)$ is a field.

Published on 12 Apr 2026 - 9:34

128

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Meaning of $[\mathbb K : \mathbb Q]$

Published on 19 Feb 2016 - 22:01

1.5k

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Linear independence of $\{1,\sqrt2,\sqrt3,\sqrt6 \}$ over $\mathbb Q$

Published on 20 Feb 2016 - 11:51

79

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Use of the Bezout Theorem in the Proof of Field Extension

Published on 12 Apr 2026 - 9:40

198

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Characteristic of a field

Published on 20 Feb 2016 - 17:23

148

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Simple Field extensions.

Published on 21 Feb 2016 - 14:35

449

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The degree of a splitting field of a polynomial proof

Published on 21 Feb 2016 - 18:27

373

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Finite extension of field with positive characteristic

Published on 22 Feb 2016 - 1:01

List Question

Determine the group of Automorphisms of $\mathbb{Q}(\zeta_8)$, where $\zeta_8=\exp(2\pi i/8)$

Geometric interpretation of different types of field extensions?

Field theory extensions.Proof

Show that every algebric extension over $\mathbb{R}$ has degree $1\ \text{or}\ 2$

a claim about extension of field

Union of infinite subfields of the complex plane

On calculating the restriction of the ideals in polynomial rings.

Understanding Proof that $\mathbb{Q} \left( \sqrt {2}\right)$ is a field.

Meaning of $[\mathbb K : \mathbb Q]$

Linear independence of $\{1,\sqrt2,\sqrt3,\sqrt6 \}$ over $\mathbb Q$

Use of the Bezout Theorem in the Proof of Field Extension

Characteristic of a field

Simple Field extensions.

The degree of a splitting field of a polynomial proof

Finite extension of field with positive characteristic

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