Splitting field over $\mathbb{Q}$ (polynomial)
88181
Splitting field of $X^n-a$
45302
Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.
25891
GCD in polynomial rings with coefficients in a field extension
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
31831
Why every polynomial over the algebraic numbers $F$ splits over $F$?
99516
Show $\mathbb{Q}[\sqrt[3]{2}]$ is a field by rationalizing
36034
Degree of splitting field less than n!
53432
What is the algebraic closure of $\mathbb F_q$?
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$
93328
$\mathbb{F}_p[X]/(X^2+X+1)$ is a field iff $p \equiv 2 \bmod 3$
54267
Field of fractions of $\mathbb{Q}[x,y]/\langle x^2+y^2-1\rangle$
41050
Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
103654
A finite field extension that is not simple
145594
Splitting of prime ideals in algebraic extensions
142707
Intermediate fields of a finite field extension that is not separable