Embedding of two extensions of a field
59347
Do extension fields always belong to a bigger field?
148569
Embeddings $A → B → A$, but $A \not\cong B$?
114152
Intermediate fields between $\mathbb{Z}_2 (\sqrt{x},\sqrt{y})$ and $\mathbb{Z}_2 (x,y)$
56551
Multiplicative group of field extension over base field
78222
Can any monomorphism of a subfield of a splitting field be extended to an automorphism?
129476
The trace map in a finite field.
155771
Product of degree of two field extensions of prime degree
143219
If a field $F$ is an algebraic extension of a field $K$ then $(F:K)=(F(x):K(x))$
27689
Separability over intersection of intermediate fields
81550
Linking two theorems: on algebraic closure and on minimal splitting field
103654
A finite field extension that is not simple
103948
Minimal polynomial is invariant under field extensions
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$
16147
Generic Element of Compositum of Two Fields
68790
Do we have $K(\beta)=K(\beta^2)$ for field extension of odd degree?
6855
Subfields of finite fields
93328
$\mathbb{F}_p[X]/(X^2+X+1)$ is a field iff $p \equiv 2 \bmod 3$