List questions from extension-field

Published on 28 Mar 2026 - 13:28

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The union of finite field extensions is a finite field extension

Published on 28 Mar 2026 - 13:21

318

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Compute degree and Galois group of a Galois extension

Published on 27 Nov 2014 - 21:09

313

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Intermediate field extensions and Degree of field extension

Published on 27 Nov 2014 - 23:07

831

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Galois field extension and number of intermediate fields

Published on 28 Nov 2014 - 1:36

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Real subfield of cyclotomic field is generated by $\zeta+\zeta^{-1}$

Published on 28 Nov 2014 - 10:34

37

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Why does it stand that #$\mathbb{Z}_p(a)=p^n$?

Published on 28 Nov 2014 - 11:14

416

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What is the relation between $Irr(a, F)$ and $Irr(a, K)$?

Published on 28 Mar 2026 - 15:26

122

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Integral extensions with finitely generated k-algebras

Published on 28 Nov 2014 - 18:55

78

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Calculating the degree of $[\mathbb Q(\sqrt[n]{m}):\mathbb Q]$

Published on 29 Nov 2014 - 7:42

193

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Do these arithmetic rules work? They extend the number system by a zero not based on the empty set that is a divisor with unique quotients.

Published on 29 Mar 2026 - 3:36

148

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Minimal polynomial over a field

Published on 29 Nov 2014 - 19:44

174

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How can you write $\mathbb{Q}[\sqrt[3]{2},\omega_3]$ using a single algebraic element $\mathbb{Q}[\alpha]$?

Published on 29 Nov 2014 - 19:48

191

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Finite field extensions and minimal polynomial

Published on 29 Nov 2014 - 20:29

88

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Calculate the degree of $[\mathbb Q(a):\mathbb Q]$

Published on 30 Nov 2014 - 13:27

List Question

Roots of different irreducible polynomials are algebraically independent

The union of finite field extensions is a finite field extension

Compute degree and Galois group of a Galois extension

Intermediate field extensions and Degree of field extension

Galois field extension and number of intermediate fields

Real subfield of cyclotomic field is generated by $\zeta+\zeta^{-1}$

Why does it stand that #$\mathbb{Z}_p(a)=p^n$?

What is the relation between $Irr(a, F)$ and $Irr(a, K)$?

Integral extensions with finitely generated k-algebras

Calculating the degree of $[\mathbb Q(\sqrt[n]{m}):\mathbb Q]$

Do these arithmetic rules work? They extend the number system by a zero not based on the empty set that is a divisor with unique quotients.

Minimal polynomial over a field

How can you write $\mathbb{Q}[\sqrt[3]{2},\omega_3]$ using a single algebraic element $\mathbb{Q}[\alpha]$?

Finite field extensions and minimal polynomial

Calculate the degree of $[\mathbb Q(a):\mathbb Q]$

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