List questions from field-theory

Published on 13 Apr 2026 - 0:40

30

Views

Induced map of mSpec involving algebraic closure

Published on 13 Apr 2026 - 10:27

504

Views

Can every field be "completed"

Published on 08 Apr 2026 - 17:13

43

Views

Construct Algebraically closed field that contains the prime field F

Published on 15 Apr 2026 - 19:12

136

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Prove of irreducibility of polynomial over field extension

Published on 14 Apr 2026 - 11:59

70

Views

Intersection of two polynomials in $F_p[x]$

Published on 16 Apr 2026 - 2:43

498

Views

Order of the root of an irreducible polynomial over a finite field

Published on 13 Apr 2026 - 20:47

222

Views

Degree of minimal polynomial of given degree of field extension

Published on 14 Apr 2026 - 5:52

131

Views

Show that $K[x]/(x^2)$ is algebraic over field $K$

Published on 15 Apr 2026 - 15:44

70

Views

Group action such that $H^1(G, L^{\times}) \neq \{1\}$.

Published on 26 Mar 2026 - 19:19

106

Views

Addition of two elements in a field with four elements

Published on 12 Apr 2026 - 3:11

203

Views

Extending base vector field via tensorproduct from $\mathbb{Q}$ to $\mathbb{R}$

Published on 15 Apr 2026 - 1:13

84

Views

Existence of finite Galois extensions

Published on 09 Apr 2026 - 6:49

169

Views

Verifying a Field

Published on 13 Apr 2026 - 11:52

151

Views

Must an automorphism which fixes two fields necessarily fix their composite?

Published on 10 Apr 2026 - 7:13

List Question

Fractional fields of integral domains

Induced map of mSpec involving algebraic closure

Can every field be "completed"

Construct Algebraically closed field that contains the prime field F

Prove of irreducibility of polynomial over field extension

Intersection of two polynomials in $F_p[x]$

Order of the root of an irreducible polynomial over a finite field

Degree of minimal polynomial of given degree of field extension

Show that $K[x]/(x^2)$ is algebraic over field $K$

Group action such that $H^1(G, L^{\times}) \neq \{1\}$.

Addition of two elements in a field with four elements

Extending base vector field via tensorproduct from $\mathbb{Q}$ to $\mathbb{R}$

Existence of finite Galois extensions

Verifying a Field

Must an automorphism which fixes two fields necessarily fix their composite?

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