List questions from field-theory

Published on 11 Apr 2026 - 7:21

28

Views

Show degree of a field extension over the rationals

Published on 12 Apr 2026 - 20:29

382

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Determine:$[\mathbb Q(\sqrt2,e^{\frac{2\pi i}{3}}):\mathbb Q]?$

Published on 16 Apr 2026 - 11:24

280

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Degree of field extension over the rationals

Published on 12 Apr 2026 - 4:18

219

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The Intersection of a Line and a Circle

Published on 11 Apr 2026 - 21:05

538

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Find $ Aut (\mathbb{C})$

Published on 17 Apr 2026 - 9:56

129

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A degree $3$ extension of $\mathbb{C}(t)$

Published on 14 Apr 2026 - 7:34

62

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Is $F(c)=F[c]$?

Published on 14 Apr 2026 - 23:25

305

Views

Can a smooth vector field in $\mathbb{R}^{3}$ be interpreted as a map that smoothly distorts space?

Published on 15 Apr 2026 - 11:04

371

Views

In fields $K/F$ of characteristic not 2, an $F$-subspace of $K$ closed under taking positive powers is actually a subfield of $K$

Published on 13 Apr 2026 - 6:01

50

Views

Euclid's Algorithm

Published on 10 Apr 2026 - 17:46

111

Views

Transcendental element in extended field

Published on 13 Apr 2026 - 16:54

35

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Why is this quotient of the Gaussian integers a field?

Published on 15 Apr 2026 - 9:11

235

Views

Degree of $\mathbb{Q}(\sqrt{3 + 2 \sqrt{2}})$ over $\mathbb{Q}$

Published on 16 Apr 2026 - 3:01

173

Views

Question on $F[a]=F(a)$

Published on 09 Apr 2026 - 8:00

List Question

About a definition of skew field and field, with example $\{0\}$

Show degree of a field extension over the rationals

Determine:$[\mathbb Q(\sqrt2,e^{\frac{2\pi i}{3}}):\mathbb Q]?$

Degree of field extension over the rationals

The Intersection of a Line and a Circle

Find $ Aut (\mathbb{C})$

A degree $3$ extension of $\mathbb{C}(t)$

Is $F(c)=F[c]$?

Can a smooth vector field in $\mathbb{R}^{3}$ be interpreted as a map that smoothly distorts space?

In fields $K/F$ of characteristic not 2, an $F$-subspace of $K$ closed under taking positive powers is actually a subfield of $K$

Euclid's Algorithm

Transcendental element in extended field

Why is this quotient of the Gaussian integers a field?

Degree of $\mathbb{Q}(\sqrt{3 + 2 \sqrt{2}})$ over $\mathbb{Q}$

Question on $F[a]=F(a)$

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