Finite extensions of $\mathbb{Q}_p$ as completions of number fields with some valuation over a prime ideal
64068
Is every finite Galois extension of $\mathbb{Q}_p$ the completion of a number field at some valuation?
13901
Finitely many prime ideals lying over $\mathfrak{p}$
90889
Prime ideals in a finite direct product of rings
30192
How far are the $p$-adic numbers from being algebraically closed?
109039
Does this "extension property" for polynomial rings satisfy a universal property?
147069
Intersection of field extensions
42332
Existence of multiplicative inverse in field $\mathbb{Q}(\sqrt{d})$
103561
Residue fields of schemes of finite type (over $\mathbb{Z}$)
74681
A finite extension with finitely many intermediate fields is simple
96549
Can we have a perfect field of characteristic $p$ with a non-archimedean valuation?
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
52530
There exists a prime congruent to $m$ mod $p$
124472
Elements with infinite roots in $p$-adic integers
45302
Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.
124151
Finite ring extension and number of maximal ideals
94174
Ring of polynomials over a field has infinitely many primes
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$