List questions from field-theory

Published on 21 May 2019 - 6:37

47

Views

Relation between $[L \cap M : K \cap M]$ and $[L : K]$, and the Wantzel theorem

Published on 26 Mar 2026 - 3:00

78

Views

What is the numerical norm for an Ideal?

Published on 21 May 2019 - 17:42

806

Views

If $p(x)$ is the minimal polynomial of $\alpha$, and $f(x) \in F[x]$, $f(\alpha) = 0$, Then $p(x) | f(x)$

Published on 27 Mar 2026 - 2:03

87

Views

If $F\subseteq K$ are fields, $\alpha \in K$ Prove $\alpha$ is algebraic over $F$

Published on 22 May 2019 - 9:14

43

Views

Duality between two multiplicative groups

Published on 01 Apr 2026 - 13:12

406

Views

An example for ring with trivial ideals

Published on 29 Mar 2026 - 13:39

105

Views

Is there a subfield of $\mathbb{R}$ that admits a non-Archimedean order?

Published on 25 Mar 2026 - 9:32

72

Views

Showing equality of fields

Published on 01 Apr 2026 - 13:16

115

Views

Why p-cyclic extension iff $p^m$-cyclic extension $\forall m$

Published on 04 Apr 2026 - 23:07

39

Views

On isomorphism of a field of fractions

Published on 25 May 2019 - 14:11

1.3k

Views

Proof of finite subfields for a finite field extension

Published on 31 Mar 2026 - 20:31

102

Views

Irreducibility of $x^n-a^n$ on $F(a^n)$ where $a$ is transcendental on $F$

Published on 27 Mar 2026 - 2:03

536

Views

Is there any degree 6 irreducible polynomial in $\Bbb Q[x]$ whose Galois group is $A_4$?

Published on 27 Mar 2026 - 2:07

70

Views

Is $x + x = 2x,\ x \in \mathbb{F}$ for all fields $\mathbb{F}$?

Published on 26 May 2019 - 16:04

List Question

Degrees of certain class of extensions of a field

Relation between $[L \cap M : K \cap M]$ and $[L : K]$, and the Wantzel theorem

What is the numerical norm for an Ideal?

If $p(x)$ is the minimal polynomial of $\alpha$, and $f(x) \in F[x]$, $f(\alpha) = 0$, Then $p(x) | f(x)$

If $F\subseteq K$ are fields, $\alpha \in K$ Prove $\alpha$ is algebraic over $F$

Duality between two multiplicative groups

An example for ring with trivial ideals

Is there a subfield of $\mathbb{R}$ that admits a non-Archimedean order?

Showing equality of fields

Why p-cyclic extension iff $p^m$-cyclic extension $\forall m$

On isomorphism of a field of fractions

Proof of finite subfields for a finite field extension

Irreducibility of $x^n-a^n$ on $F(a^n)$ where $a$ is transcendental on $F$

Is there any degree 6 irreducible polynomial in $\Bbb Q[x]$ whose Galois group is $A_4$?

Is $x + x = 2x,\ x \in \mathbb{F}$ for all fields $\mathbb{F}$?

Trending Questions

Popular # Hahtags

Popular Questions