Newbetuts

Is there an infinite field such that every non-zero element has finite multiplicative order and the set of all orders is bounded?

Can you construct a field with 6 elements? [duplicate]

Let $x$ be transcendental over $F$. Let $y=f(x)/g(x)$ be a rational function. Prove $[F(x):F(y)]=\max(\deg f,\deg g)$

Galois closure of a $p$-extension is also a $p$-extension

Elements in finite field extensions

Degree of $\mathbb{Q}(\zeta_n)$ over $\mathbb{Q}(\zeta_n+\zeta_{n}^{-1})$

I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$

Why are $i$ and $-i$ "more indistinguishable" than $\sqrt{2}$ and $-\sqrt{2}$?

How to show that $\mathbb{Q}(\sqrt{p},\sqrt{q}) \subseteq \mathbb{Q}(\sqrt{p}+\sqrt{q})$

Weird subfields of $\Bbb{R}$

Finding the degree of a field extension over the rationals

Is the size of the Galois group always $n$ factorial?

$K(u,v)$ is a simple extension of fields if $u$ is separable

$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?

New posts in field-theory

Degree of splitting field less than n! [duplicate]

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Every irreducible polynomial f over perfect field F is separable

Is there an infinite field such that every non-zero element has finite multiplicative order and the set of all orders is bounded?

Can you construct a field with 6 elements? [duplicate]

Let $x$ be transcendental over $F$. Let $y=f(x)/g(x)$ be a rational function. Prove $[F(x):F(y)]=\max(\deg f,\deg g)$

Galois closure of a $p$-extension is also a $p$-extension

Elements in finite field extensions

Degree of $\mathbb{Q}(\zeta_n)$ over $\mathbb{Q}(\zeta_n+\zeta_{n}^{-1})$

I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$

Why are $i$ and $-i$ "more indistinguishable" than $\sqrt{2}$ and $-\sqrt{2}$?

How to show that $\mathbb{Q}(\sqrt{p},\sqrt{q}) \subseteq \mathbb{Q}(\sqrt{p}+\sqrt{q})$

Weird subfields of $\Bbb{R}$

Finding the degree of a field extension over the rationals

Is the size of the Galois group always $n$ factorial?

$K(u,v)$ is a simple extension of fields if $u$ is separable

$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?