List questions from extension-field

Published on 28 Dec 2015 - 23:02

963

Views

Degree of a splitting field over finite field

Published on 09 Apr 2026 - 16:12

3.1k

Views

Degree of the splitting field of $X^4-3X^2+5$ over $\mathbb{Q}$

Published on 28 Mar 2026 - 3:27

336

Views

Let $E/F$ a field extension. If $x\in E$ is separable over $F$ is $E/F$ separable?

Published on 30 Dec 2015 - 9:29

994

Views

Easy criteria to determine isomorphism of fields?

Published on 31 Dec 2015 - 13:46

830

Views

$\sqrt[31]{12} +\sqrt[12]{31}$ is irrational

Published on 03 Apr 2026 - 21:24

120

Views

If degree of extension is infinite then intermediate ring not need to be a field.

Published on 28 Mar 2026 - 3:27

482

Views

Galois extension of $\mathbb C$ is also Galois over $\mathbb R$??

Published on 02 Jan 2016 - 6:31

61

Views

Subfield of $\mathbb C$ with certain degree.

Published on 02 Jan 2016 - 8:20

96

Views

Prove that $\sqrt{2} \notin \mathbb{Q}(\sqrt{3})$.

Published on 02 Jan 2016 - 12:25

141

Views

$K(ab,a+b) \subset K(a,b)\;$ finite field extension

Published on 02 Jan 2016 - 17:13

52

Views

Prove that if $\mathbb{F}_{p^n} \subseteq \mathbb{F}_{p^m}$ then $n \mid m$

Published on 09 Apr 2026 - 16:11

574

Views

The maximal subfield of $\mathbb C$ not containing $\sqrt2$

Published on 03 Jan 2016 - 16:32

89

Views

find all composite order fields between 200 and 900 .

Published on 03 Jan 2016 - 19:20

694

Views

Proving that isomorphism of field extension is an equivalence relation

Published on 04 Jan 2016 - 0:09

List Question

The real numbers are a field extension of the rationals?

Degree of a splitting field over finite field

Degree of the splitting field of $X^4-3X^2+5$ over $\mathbb{Q}$

Let $E/F$ a field extension. If $x\in E$ is separable over $F$ is $E/F$ separable?

Easy criteria to determine isomorphism of fields?

$\sqrt[31]{12} +\sqrt[12]{31}$ is irrational

If degree of extension is infinite then intermediate ring not need to be a field.

Galois extension of $\mathbb C$ is also Galois over $\mathbb R$??

Subfield of $\mathbb C$ with certain degree.

Prove that $\sqrt{2} \notin \mathbb{Q}(\sqrt{3})$.

$K(ab,a+b) \subset K(a,b)\;$ finite field extension

Prove that if $\mathbb{F}_{p^n} \subseteq \mathbb{F}_{p^m}$ then $n \mid m$

The maximal subfield of $\mathbb C$ not containing $\sqrt2$

find all composite order fields between 200 and 900 .

Proving that isomorphism of field extension is an equivalence relation

Trending Questions

Popular # Hahtags

Popular Questions