Infinite fields of characteristic $p$
97904
Example of infinite field of characteristic $p\neq 0$
121076
Show $x^p-t$ has no root in the field $\mathbb{F}_p(t)$
115449
Inclusion of Fields whose order is a prime power
21538
Can a ring of positive characteristic have infinite number of elements?
57084
Characteristic of the following field?
136770
Any field that contains the integers contains the rationals as a subfield (Analysis proof)
124472
Elements with infinite roots in $p$-adic integers
67157
Example of an non-normal inseparable field extension
132714
Properties of p-adic valuations
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$
63390
Infinite algebraic extensions of $\mathbb{Q}$
144394
Order 2 elements in finite characteristic field
153542
Fixed Field of $\sigma, \tau$
45302
Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.
141410
Injective integral domains are fields
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
17276
Number of points in the fibre and the degree of field extension