List questions from extension-field

Published on 11 Apr 2026 - 2:47

248

Views

Separability of field extensions

Published on 15 Apr 2026 - 11:05

650

Views

Field of all algebraic reals over $\mathbb{Q}$ has infinite degree

Published on 14 Apr 2026 - 9:24

40

Views

The basis of extension field contains $1$

Published on 16 Apr 2026 - 4:35

269

Views

Set of elements of degree $2^n$ over a base field is itself a field

Published on 15 Apr 2026 - 23:54

336

Views

Proposition about intermediate field extensions

Published on 09 Apr 2026 - 0:14

936

Views

Roots of unity over $\mathbb{Q}$

Published on 15 Apr 2026 - 21:30

543

Views

representation of rational field

Published on 13 Apr 2026 - 3:34

1.2k

Views

Prove that a field automorphism sends a root into a root

Published on 12 Apr 2026 - 7:52

124

Views

Maximum number of algebraically independent elements of a transcendental extension

Published on 26 Mar 2026 - 4:53

3.5k

Views

What does the idea of splitting mean when used with fields and polynomials?

Published on 15 Apr 2026 - 9:54

605

Views

embedding of a finite algebraic extension

Published on 11 Apr 2026 - 12:41

6.2k

Views

Finding a basis for $\Bbb{Q}(\sqrt{2}+\sqrt{3})$ over $\Bbb{Q}$.

Published on 16 Apr 2026 - 0:40

776

Views

Number of intermediate fields in non-separable extensions that are also not purely inseparable

Published on 11 Apr 2026 - 13:52

1.9k

Views

Field extensions of finite degree and primitive elements

Published on 13 Apr 2026 - 13:04

List Question

factorization of ideals

Separability of field extensions

Field of all algebraic reals over $\mathbb{Q}$ has infinite degree

The basis of extension field contains $1$

Set of elements of degree $2^n$ over a base field is itself a field

Proposition about intermediate field extensions

Roots of unity over $\mathbb{Q}$

representation of rational field

Prove that a field automorphism sends a root into a root

Maximum number of algebraically independent elements of a transcendental extension

What does the idea of splitting mean when used with fields and polynomials?

embedding of a finite algebraic extension

Finding a basis for $\Bbb{Q}(\sqrt{2}+\sqrt{3})$ over $\Bbb{Q}$.

Number of intermediate fields in non-separable extensions that are also not purely inseparable

Field extensions of finite degree and primitive elements

Trending Questions

Popular # Hahtags

Popular Questions