New posts in Extension Field

Minimal polynomial of $\sqrt{3+2\sqrt{3}}$

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

Minimal polynomial with $f(\alpha)=0$

Ring of integers of $\mathbb{Q}(\sqrt[3]{6})$

$A$ reduced implies $A\otimes_k K$ reduced, for $k$ perfect.

Prove that $x^3+2y^3+4z^3\equiv6xyz \pmod{7} \Rightarrow x\equiv y\equiv z\equiv 0 \pmod{7}$

Field elements which become $n$th powers after adjoining an $n$th root of unity

Is the composite of two simple radical extensions another simple radical extension?

Find an example about splitting field

Minimal polynomial of $\sqrt{2+\sqrt[3]{3}}$ over $\mathbb{Q}$