Field extension $\mathbb{F}_p(X^p,Y^p)\subset\mathbb{F}_p(X,Y)$ not a primitive extension
106737
A problem on field extension
41815
Galois extension of intersection of fields
883
$K(u,v)$ is a simple extension of fields if $u$ is separable
118610
Are all extensions of finite fields cyclic?
55026
$\mathbb{Q}[X,Y]/(Y^2-X^3)$ is not a UFD
80295
Field extensions and algebraic/transcendental elements
42332
Existence of multiplicative inverse in field $\mathbb{Q}(\sqrt{d})$
20218
Is this field extension finite?
64068
Is every finite Galois extension of $\mathbb{Q}_p$ the completion of a number field at some valuation?
79226
Discrete non archimedean valued field with infinite residue field
19511
Is the sub-field of algebraic elements of a field extension of $K$ containing roots of polynomials over $K$ algebraically closed?
78222
Can any monomorphism of a subfield of a splitting field be extended to an automorphism?
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
63390
Infinite algebraic extensions of $\mathbb{Q}$
115449
Inclusion of Fields whose order is a prime power
28313
Intermediate ring between a field and an algebraic extension.
66355
A sufficient condition for irreducibility of a polynomial in an extension field.