List questions from extension-field

Published on 17 Mar 2026 - 7:41

66

Views

On the splitting field over $\mathbb{Q}$ of $X^4 + 1$.

Published on 19 Feb 2018 - 17:23

46

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Clarifying operations identifying $\mathbb{R}[x]/\left<x^2 + 1\right>$ with $\mathbb{C}$

Published on 20 Feb 2018 - 4:42

85

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Field of fractions of $(E \otimes_K F)/p$ and $(E \otimes_K F)/q$ are not isomorphic.

Published on 20 Feb 2018 - 5:25

593

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Decompose tensor product of fields into direct product of domains

Published on 24 Feb 2018 - 13:56

690

Views

Extension of isomorphism of fields

Published on 19 Mar 2026 - 23:44

51

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Computation of $\frac{1+t}{1+t+t^2}$ for $x^3-2x-2$ in $\mathbb{Q}(t)$.

Published on 25 Mar 2026 - 1:38

82

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Study the Irreducibility of polynomial

Published on 25 Mar 2026 - 1:35

74

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If$s(c)=t(c)$ in $F(c)$ then $s(x)=t(x)$

Published on 01 Mar 2018 - 4:04

228

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Is minimal polynomial self-reciprocal?

Published on 22 Mar 2026 - 17:27

47

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Embeddings of infinite algebraic extensions of $\mathbb Q$

Published on 04 Mar 2018 - 17:20

298

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A field extension with same transcendental degree is algebraic

Published on 06 Mar 2018 - 14:40

51

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Doubt in a MO link involving different proof of Hilbert $90.$

Published on 07 Mar 2018 - 16:12

182

Views

To find the degree of $\mathbb{Q}(\sqrt{5},i)/ \mathbb{Q}$

Published on 07 Mar 2018 - 17:45

54

Views

Binary code over $F_8$

Published on 25 Mar 2026 - 1:40

List Question

Finiteness of $L\otimes_k K$ over $L(T)$

On the splitting field over $\mathbb{Q}$ of $X^4 + 1$.

Clarifying operations identifying $\mathbb{R}[x]/\left<x^2 + 1\right>$ with $\mathbb{C}$

Field of fractions of $(E \otimes_K F)/p$ and $(E \otimes_K F)/q$ are not isomorphic.

Decompose tensor product of fields into direct product of domains

Extension of isomorphism of fields

Computation of $\frac{1+t}{1+t+t^2}$ for $x^3-2x-2$ in $\mathbb{Q}(t)$.

Study the Irreducibility of polynomial

If$s(c)=t(c)$ in $F(c)$ then $s(x)=t(x)$

Is minimal polynomial self-reciprocal?

Embeddings of infinite algebraic extensions of $\mathbb Q$

A field extension with same transcendental degree is algebraic

Doubt in a MO link involving different proof of Hilbert $90.$

To find the degree of $\mathbb{Q}(\sqrt{5},i)/ \mathbb{Q}$

Binary code over $F_8$

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