Are finite extensions of global function fields always simple?
129597
Is a field perfect iff the primitive element theorem holds for all extensions, and what about function fields
63390
Infinite algebraic extensions of $\mathbb{Q}$
103561
Residue fields of schemes of finite type (over $\mathbb{Z}$)
112556
When is $F(\sqrt c)$ a field?
143138
All models of $\mathsf{ZFC}$ between $V$ and $V[G]$ are generic extensions of $V$
140540
Infinite number of intermediate fields between K(u,v) and K
129153
Is it Galois extension?
109039
Does this "extension property" for polynomial rings satisfy a universal property?
111444
Is any finite-dimensional extension of a field, say $F$, algebraic and finitely generated?
69935
Field extensions of finite degree and primitive elements
68753
Elements in finite field extensions
132423
Non trivial valuation over a finite extension $F/\mathbb{Q}_p$ is equivalent to the one induced by $v_p$
121301
What are the roots of an irreducible $p\in F[X]$ in the field extension $F[X]/\langle p\rangle$?
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
93111
Finiteness of the Algebraic Closure
31142
Why does $K \leadsto K(X)$ preserve the degree of field extensions?