List questions from field-theory

Published on 11 Apr 2014 - 11:04

152

Views

Is is true that $\zeta$ has finite order?

Published on 26 Mar 2026 - 1:10

223

Views

Dummit and Foote page 512 claim

Published on 02 Apr 2026 - 23:57

142

Views

Dummit and Foote page 526

Published on 27 Mar 2026 - 19:31

994

Views

Is $x^4+2$ irreducible over $\Bbb{Q}(i)$?

Published on 14 Apr 2014 - 1:27

726

Views

Basis for $\mathbb{Q}[\sqrt{8}]$ over $\mathbb{Q}[\sqrt{2}]$

Published on 01 Apr 2026 - 14:41

747

Views

What exactly are the elements of $\mathbb{Z}_p[x]/\langle p(x) \rangle$?

Published on 14 Apr 2014 - 10:06

5k

Views

Why must a field whose a group of units is cyclic be finite?

Published on 28 Mar 2026 - 10:35

246

Views

Algebraic closure of a subfield of the field of fraction of a variety

Published on 01 Apr 2026 - 14:46

2.9k

Views

How to find a primitive element of $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})$ over $\mathbb{Q}$?

Published on 03 Apr 2026 - 1:36

2.1k

Views

Field of algebraic numbers over $\mathbb{Q}$

Published on 01 Apr 2026 - 14:50

1k

Views

Automorphism that maps primitive roots of unity.

Published on 27 Mar 2026 - 2:59

1.2k

Views

Equivalence of definitions for "normal extension" and how to lift isomorphisms to them

Published on 29 Mar 2026 - 7:29

932

Views

In algebraic extension, field homomorphism induces isomorphism.

Published on 03 Apr 2026 - 1:35

29

Views

Express $a^5$ in terms of $c_0+c_1a+c_2a^2.$

Published on 18 Apr 2014 - 3:31

List Question

Is the algebraic subextension of a finitely generated field extension finitely generated?

Is is true that $\zeta$ has finite order?

Dummit and Foote page 512 claim

Dummit and Foote page 526

Is $x^4+2$ irreducible over $\Bbb{Q}(i)$?

Basis for $\mathbb{Q}[\sqrt{8}]$ over $\mathbb{Q}[\sqrt{2}]$

What exactly are the elements of $\mathbb{Z}_p[x]/\langle p(x) \rangle$?

Why must a field whose a group of units is cyclic be finite?

Algebraic closure of a subfield of the field of fraction of a variety

How to find a primitive element of $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})$ over $\mathbb{Q}$?

Field of algebraic numbers over $\mathbb{Q}$

Automorphism that maps primitive roots of unity.

Equivalence of definitions for "normal extension" and how to lift isomorphisms to them

In algebraic extension, field homomorphism induces isomorphism.

Express $a^5$ in terms of $c_0+c_1a+c_2a^2.$

Trending Questions

Popular # Hahtags

Popular Questions