List questions from extension-field

Published on 29 Apr 2026 - 12:42

70

Views

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

Published on 10 May 2026 - 12:54

49

Views

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

Published on 17 Apr 2026 - 0:23

88

Views

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

Published on 15 Apr 2026 - 7:25

596

Views

Decompose tensor product of fields into direct product of domains

Published on 15 Apr 2026 - 14:14

697

Views

Extension of isomorphism of fields

Published on 07 May 2026 - 18:14

53

Views

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

Published on 17 Apr 2026 - 12:07

84

Views

Study the Irreducibility of polynomial

Published on 10 Apr 2026 - 7:48

77

Views

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

Published on 15 Apr 2026 - 18:54

232

Views

Is minimal polynomial self-reciprocal?

Published on 10 May 2026 - 15:50

50

Views

Embeddings of infinite algebraic extensions of $\mathbb Q$

Published on 14 Apr 2026 - 13:25

301

Views

A field extension with same transcendental degree is algebraic

Published on 12 Apr 2026 - 4:04

54

Views

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

Published on 13 Apr 2026 - 11:33

184

Views

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

Published on 15 Apr 2026 - 23:28

58

Views

Binary code over $F_8$

Published on 10 May 2026 - 12:29

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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