Infinite extensions of "finite degree under $\mathbb{Q}$"
93111
Finiteness of the Algebraic Closure
131460
Example of finite field extension where root not separable
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
94382
Calculate the degree of the extension $[\mathbb{Q}(\cos(\frac{2\pi}{p})):\mathbb{Q}]$
4192
Non-algebraically closed field in which every polynomial of degree $<n$ has a root
74681
A finite extension with finitely many intermediate fields is simple
127796
Degree of field extension $F(x) / F(x^2 + 1 / x^2)$
142707
Intermediate fields of a finite field extension that is not separable
134619
Galois extension with $X^4-2aX^2+b\in\mathbb Q[X]$
68065
Quadratic extensions in characteristic $2$
124151
Finite ring extension and number of maximal ideals
57283
Extending Homomorphism into Algebraically Closed Field
115129
Constructing an explicit isomorphism between finite extensions of finite fields
29626
Is there a proper subfield $K\subset \mathbb R$ such that $[\mathbb R:K]$ is finite?
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
111347
Finding an example of field extensions satisfying certain properties
103654
A finite field extension that is not simple