List questions from extension-field

Published on 11 Apr 2026 - 15:34

374

Views

Showing degree of algebraic closure is infinite

Published on 11 Apr 2026 - 18:00

580

Views

In an extension field, is there any difference between the original field and its isomorphic copy in the extension field?

Published on 13 Apr 2026 - 20:04

1.4k

Views

Prove that $K$ is isomorphic to a subfield of the ring of $n\times n$ matrices over $F$.

Published on 15 Apr 2026 - 2:43

935

Views

Why is $\mathbb{Q}(\sqrt[3]{2})$ not a stem field for the polynomial $X^3-2 \in \mathbb{Q}[X]$?

Published on 05 Mar 2016 - 22:28

822

Views

Number of homomorphisms from a stem field to a given field

Published on 06 Mar 2016 - 1:28

738

Views

Finding quadratic twist of elliptic curve

Published on 12 Apr 2026 - 20:13

283

Views

What is the Galois group of $(t^3-2)(t^3-3)\in \mathbb{Q}[t]$?

Published on 15 Apr 2026 - 6:58

106

Views

Calculate the degree of the field extension $\Bbb{Q}(a,b)\mid\Bbb{Q}(b)$

Published on 07 Mar 2016 - 16:41

380

Views

Proof that $[\Bbb{Q}(\sqrt{q_1},\dots,\sqrt{q_r}):\Bbb{Q}]=2^r$

Published on 08 Mar 2016 - 14:15

168

Views

Can two fields be isomorphic but have a different set of automorphisms?

Published on 12 Apr 2026 - 17:52

47

Views

Description of splitting field

Published on 11 Apr 2026 - 9:09

724

Views

Degree of the splitting field of an irreducible polynomial of degree three

Published on 10 Apr 2026 - 23:47

833

Views

Sum and product of algebraic numbers

Published on 10 Apr 2026 - 14:56

56

Views

Find the degrees of field extensions

Published on 13 Apr 2026 - 17:24

List Question

Field extension with elements of bounded degree

Showing degree of algebraic closure is infinite

In an extension field, is there any difference between the original field and its isomorphic copy in the extension field?

Prove that $K$ is isomorphic to a subfield of the ring of $n\times n$ matrices over $F$.

Why is $\mathbb{Q}(\sqrt[3]{2})$ not a stem field for the polynomial $X^3-2 \in \mathbb{Q}[X]$?

Number of homomorphisms from a stem field to a given field

Finding quadratic twist of elliptic curve

What is the Galois group of $(t^3-2)(t^3-3)\in \mathbb{Q}[t]$?

Calculate the degree of the field extension $\Bbb{Q}(a,b)\mid\Bbb{Q}(b)$

Proof that $[\Bbb{Q}(\sqrt{q_1},\dots,\sqrt{q_r}):\Bbb{Q}]=2^r$

Can two fields be isomorphic but have a different set of automorphisms?

Description of splitting field

Degree of the splitting field of an irreducible polynomial of degree three

Sum and product of algebraic numbers

Find the degrees of field extensions

Trending Questions

Popular # Hahtags

Popular Questions