List questions from field-theory

Published on 15 Apr 2026 - 6:09

405

Views

Splitting field of irreducible cubic; discriminant

Published on 11 Apr 2026 - 23:35

147

Views

What properties must a field $K$ satisfy in order to define an inner product on a $K\!$-vector space?

Published on 15 Apr 2026 - 8:05

617

Views

Is every cubic extension of $\mathbb{Q}$ of the form $\mathbb{Q}(\sqrt[3]{d})$ for some $d \in \mathbb{Q}$?

Published on 17 Apr 2026 - 13:24

800

Views

Norm and trace of an element in a cyclotomic number field

Published on 18 Apr 2026 - 20:10

895

Views

Can Hilbert spaces be defined over fields other than $\mathbb R$ and $\mathbb C$?

Published on 14 Apr 2026 - 13:45

100

Views

Are field embeddings unique?

Published on 25 Mar 2026 - 19:00

106

Views

$V_4$ is not isomorphic to $\mathbb{F}_{2^2}$

Published on 15 Apr 2026 - 4:57

77

Views

Are order-preserving field embeddings unique?

Published on 25 Mar 2026 - 18:24

111

Views

Need help in deducing 2 arguments related to separable extension

Published on 09 Apr 2026 - 13:34

77

Views

Can the property $z^*z\in [0,\infty)$ be generalized to other fields?

Published on 25 Mar 2026 - 9:38

44

Views

Semifields of order 8 are fields

Published on 13 Apr 2026 - 3:38

57

Views

linear mappings between two fields

Published on 09 Apr 2026 - 10:02

69

Views

Is there a product on $\mathbb{R}^n$ for $n \neq 2$ that turns $\mathbb{R}^n$ into a field?

Published on 14 Apr 2026 - 8:00

470

Views

Universal property of completion of a field at an absolute value

Published on 13 Apr 2026 - 19:14

List Question

Aluffi Chapter 0 number 7.7.5

Splitting field of irreducible cubic; discriminant

What properties must a field $K$ satisfy in order to define an inner product on a $K\!$-vector space?

Is every cubic extension of $\mathbb{Q}$ of the form $\mathbb{Q}(\sqrt[3]{d})$ for some $d \in \mathbb{Q}$?

Norm and trace of an element in a cyclotomic number field

Can Hilbert spaces be defined over fields other than $\mathbb R$ and $\mathbb C$?

Are field embeddings unique?

$V_4$ is not isomorphic to $\mathbb{F}_{2^2}$

Are order-preserving field embeddings unique?

Need help in deducing 2 arguments related to separable extension

Can the property $z^*z\in [0,\infty)$ be generalized to other fields?

Semifields of order 8 are fields

linear mappings between two fields

Is there a product on $\mathbb{R}^n$ for $n \neq 2$ that turns $\mathbb{R}^n$ into a field?

Universal property of completion of a field at an absolute value

Trending Questions

Popular # Hahtags

Popular Questions