List questions from field-theory

Published on 17 Apr 2026 - 10:10

39

Views

How to prove $L(\alpha)/K(\alpha)$ is algebraic given $L/K$ is algebraic?

Published on 14 Apr 2026 - 22:18

103

Views

Find $f \in \mathbb{Q}[X]$ such that $f(a) = a^{-1}$, where $a := \sqrt{3} + \sqrt{5}$

Published on 30 Mar 2026 - 20:44

38

Views

Intersection of function fields

Published on 17 Apr 2026 - 11:36

155

Views

Are coprime polynomials also coprime considered in the algebraic closure?

Published on 13 Apr 2026 - 6:01

785

Views

Product of Irreducible Polynomials

Published on 16 Apr 2026 - 1:08

517

Views

General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$

Published on 16 Apr 2026 - 13:26

285

Views

Maximal algebraic ordered field extensions of $\mathbb{Q}$

Published on 16 Apr 2026 - 6:05

67

Views

Proving equivalence between finite field extensions.

Published on 09 Apr 2026 - 11:58

62

Views

Is $F[x]/(x-\alpha)\approx F$?

Published on 14 Apr 2026 - 20:17

653

Views

Automorphisms of splitting field of $x^8 - 2$ over $\mathbb{Q}$

Published on 15 Apr 2026 - 12:05

145

Views

Finite field extension that is properly contained in a splitting field

Published on 11 Apr 2026 - 16:21

96

Views

Proof that |Aut$(K/F)$| $\leq [K:F]$

Published on 15 Apr 2026 - 6:24

68

Views

Let $\mathbb F$ be field with $16807=7^5$ elements.What is the cardinality of the set given by $\{a^7-b^7:a,b\in \mathbb F\}$?

Published on 24 Apr 2026 - 0:56

39

Views

Conditions for being an unramified extensions

Published on 12 Apr 2026 - 15:29

List Question

On non primitive fields extension

How to prove $L(\alpha)/K(\alpha)$ is algebraic given $L/K$ is algebraic?

Find $f \in \mathbb{Q}[X]$ such that $f(a) = a^{-1}$, where $a := \sqrt{3} + \sqrt{5}$

Intersection of function fields

Are coprime polynomials also coprime considered in the algebraic closure?

Product of Irreducible Polynomials

General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$

Maximal algebraic ordered field extensions of $\mathbb{Q}$

Proving equivalence between finite field extensions.

Is $F[x]/(x-\alpha)\approx F$?

Automorphisms of splitting field of $x^8 - 2$ over $\mathbb{Q}$

Finite field extension that is properly contained in a splitting field

Proof that |Aut$(K/F)$| $\leq [K:F]$

Let $\mathbb F$ be field with $16807=7^5$ elements.What is the cardinality of the set given by $\{a^7-b^7:a,b\in \mathbb F\}$?

Conditions for being an unramified extensions

Trending Questions

Popular # Hahtags

Popular Questions