Intersection of finite Galois extensions is Galois
41815
Galois extension of intersection of fields
132423
Non trivial valuation over a finite extension $F/\mathbb{Q}_p$ is equivalent to the one induced by $v_p$
134619
Galois extension with $X^4-2aX^2+b\in\mathbb Q[X]$
63390
Infinite algebraic extensions of $\mathbb{Q}$
28313
Intermediate ring between a field and an algebraic extension.
126127
A field extension of prime degree
74681
A finite extension with finitely many intermediate fields is simple
124151
Finite ring extension and number of maximal ideals
111444
Is any finite-dimensional extension of a field, say $F$, algebraic and finitely generated?
25793
Extension fields isomorphic to fields of matrices
103654
A finite field extension that is not simple
129687
Does a Galois group being $S_3$ correspond to the extension being the splitting field of a cubic?
1060
Minimal polynomial of intermediate extensions under Galois extensions.
146446
Infinite Degree Algebraic Field Extensions
142488
Galois Basic Question (Cyclic Order 4 Extension of Q cannot contain i)
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
111189
Intersection of all maximal ideals containing a given ideal