No finite field is algebraically closed
34740
Do finite algebraically closed fields exist?
55026
$\mathbb{Q}[X,Y]/(Y^2-X^3)$ is not a UFD
23526
Complexity of arithmetic in a finite field?
139499
The algebraic closure of a finite field and its Galois group
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
150605
Existence of a regular uncountable $\aleph_{\alpha}$ without $\mathsf{AC}$
140106
How to prove a finite field is not ordered?
63390
Infinite algebraic extensions of $\mathbb{Q}$
98731
Show that there is no epimorphism from ($\mathbb{Q}$, +) to ($\mathbb{Z}$, +)
20218
Is this field extension finite?
19511
Is the sub-field of algebraic elements of a field extension of $K$ containing roots of polynomials over $K$ algebraically closed?
81682
Proving the algebraic set corresponding to a polynomial is infinite.
14270
Polynomial divisibility is unchanged by coeff. field extension
83586
Finite fields and primitive elements
142336
Why does the integral domain "being trapped between a finite field extension" implies that it is a field?
55050
How to show that $\mathbb{Q}(i,\sqrt[4]{1+i} )$ is not contained in any cyclotomic extension of $\mathbb{Q}(i)$?
86626
Finite fields, existence of field of order $p^n$,proof help