$Ext_F$ vanishes if $F$ is a field?
140474
Why is Ext$(-;k) =0$ when $k$ is a field
121663
If $a$ is a zero divisor of $\mathbb{F}$, then does $a$ fail to have a multiplicative inverse?
34740
Do finite algebraically closed fields exist?
31142
Why does $K \leadsto K(X)$ preserve the degree of field extensions?
20218
Is this field extension finite?
158353
If $F=K(u,v)$ with $u^p$,$v^p\in K$ and $[F:K]=p^2$, $\operatorname{char} K=p>0$, then $F$ is not a simple extension of $K$.
58562
How can we prove that $D(f)\backsimeq\operatorname{Spec} A_f$?
138911
Is $\mathbb R^2$ a field?
112125
In an extension field, is there any difference between the original field and its isomorphic copy in the extension field?
142336
Why does the integral domain "being trapped between a finite field extension" implies that it is a field?
93328
$\mathbb{F}_p[X]/(X^2+X+1)$ is a field iff $p \equiv 2 \bmod 3$
19671
Does the "field" over which a vector space is defined have to be a Field?
25793
Extension fields isomorphic to fields of matrices
106737
A problem on field extension
72847
Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere?
156796
$z_0$ non-removable singularity of $f\Rightarrow z_0$ essential singularity of $\exp(f)$
28272
Does such localization of integral extension preserve inclusion?