Let $K$ be a separable extension of $F$.
69935
Field extensions of finite degree and primitive elements
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
42652
Must $k$-subalgebra of $k[x]$ be finitely generated?
128911
Continuous extension of a real function
86877
Let $F$ be a Galois extension over $\mathbb{Q}$ with $[F:\mathbb{Q}]=2^n$, then all elements in $F$ are constructible
22295
Subspace of a separable space is separable
104354
What is the relation between normal extension and separable extension?
122845
Does an inseparable extension have a purely inseparable element?
67157
Example of an non-normal inseparable field extension
71857
Proving that, $|f'(x)-f'(y)|\le k|x-y| \implies (f'(x))^2< 2 kf(x) $
27689
Separability over intersection of intermediate fields
22131
Prove if nonempty $K \subset\mathbb{R}$ is compact, then both sup $K$ and inf $K$ exist and are elements of $K$.
78997
If $L/K$ normal and $H = \operatorname{Aut}(L/K)$, then $L/L^H$ is separable and $L^H/K$ is purely inseparable.
19856
Prove that a subset of a separable set is itself separable
28313
Intermediate ring between a field and an algebraic extension.
49521
In an extension of finitely generated $k$-algebras the contraction of a maximal ideal is also maximal
63146
Proof of properties of injective and surjective functions.