List questions from extension-field

30

Views

Question regarding $K(a) \cong K[X]/(m(a,K))$ and the representation of elements in $L$ as linear combination

Published on 15 May 2023 - 3:06

98

Views

Number field, $K_i\neq K_{i+1}$

Published on 15 May 2023 - 11:27

123

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Can an integral basis be extended?

Published on 16 May 2023 - 9:05

63

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Separable extension characterization

Published on 23 Feb 2026 - 8:28

42

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Question about Splitting Field Extensions

Published on 27 Mar 2026 - 12:27

91

Views

How is multiplication defined in the field extension $\mathbb Z_p(\sqrt3+5i)$

Published on 05 Apr 2026 - 20:41

63

Views

Are all algebraic extensions of finite fields separable? What about fields of characteristic p in general?

Published on 23 Feb 2026 - 8:34

125

Views

Weil restriction of a base change

Published on 27 Mar 2026 - 23:48

114

Views

Minimal Polynomial of $\sqrt[3]{2}$ over $\mathbb{Q}(e^{\frac{2\pi i}{3}})$ and degree of field extension.

Published on 23 May 2023 - 16:47

36

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Need a proof for a lemma (Stewart. Galois Theory. Lemma 5.14, about the dimension of simple extensions)

Published on 27 May 2023 - 16:06

92

Views

Question about the multiplicative inverse of a p-adic number

Published on 30 Mar 2026 - 7:00

14

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What is $\text{trdeg}(F( X_i Y_j \mid 1 \leq i \leq n, 1 \leq j \leq m) / F)$?

Published on 23 Feb 2026 - 2:43

53

Views

Properties of $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$-orbits

Published on 31 Mar 2026 - 16:17

79

Views

Minimal field containing two field of formal Laurent series

Published on 26 Mar 2026 - 21:25

46

Views

Order of galois group of splitting field

Published on 04 Jun 2023 - 11:58

List Question

Question regarding $K(a) \cong K[X]/(m(a,K))$ and the representation of elements in $L$ as linear combination

Number field, $K_i\neq K_{i+1}$

Can an integral basis be extended?

Separable extension characterization

Question about Splitting Field Extensions

How is multiplication defined in the field extension $\mathbb Z_p(\sqrt3+5i)$

Are all algebraic extensions of finite fields separable? What about fields of characteristic p in general?

Weil restriction of a base change

Minimal Polynomial of $\sqrt[3]{2}$ over $\mathbb{Q}(e^{\frac{2\pi i}{3}})$ and degree of field extension.

Need a proof for a lemma (Stewart. Galois Theory. Lemma 5.14, about the dimension of simple extensions)

Question about the multiplicative inverse of a p-adic number

What is $\text{trdeg}(F( X_i Y_j \mid 1 \leq i \leq n, 1 \leq j \leq m) / F)$?

Properties of $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$-orbits

Minimal field containing two field of formal Laurent series

Order of galois group of splitting field

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