Field extension in rational functions
127796
Degree of field extension $F(x) / F(x^2 + 1 / x^2)$
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
73669
Totally real Galois extension of given degree
126127
A field extension of prime degree
80295
Field extensions and algebraic/transcendental elements
11814
Describing integral closure of quadratic number fields
25793
Extension fields isomorphic to fields of matrices
103654
A finite field extension that is not simple
36997
Galois Groups of Finite Extensions of Fixed Fields
68753
Elements in finite field extensions
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
50668
Show that $\mathbb{Q}(\sqrt2, \sqrt[3]2)$ is a primitive field extension of $\mathbb{Q}$.
57283
Extending Homomorphism into Algebraically Closed Field
48093
Irreducible polynomial in field extension
57515
Similar matrices and field extensions
42189
Ring of rational-coefficient power series defining entire functions
66355
A sufficient condition for irreducibility of a polynomial in an extension field.