Algebraic Closure and $p$-adic completion: do they commute?
32910
Completion and algebraic closure commutable
34740
Do finite algebraically closed fields exist?
95942
$k[x]/(x^n)$ module with finite free resolution is free
53432
What is the algebraic closure of $\mathbb F_q$?
30411
The closure of the irrational numbers on $\mathbb{R}$
154324
preservation of completeness under homeomorphism
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
51465
New, elegant proofs for $\varphi(p^{k})=p^{k}-p^{k-1}$
92677
Infinite algebraic extension of a finite field
28934
Presentation of SL$(n,\mathbb{Z}_p)$
124472
Elements with infinite roots in $p$-adic integers
78835
An automorphism of the field of $p$-adic numbers
117546
Idempotent of closure and other properties
76482
Closure of the set of degree $n$ polynomials with $n$ real roots
55764
Algebraic closure of $\mathbb F_p$
78412
Representing a countable field by $\Bbb N$ [transport of algebraic structure]
28313
Intermediate ring between a field and an algebraic extension.