Algebraic closure of $\mathbb F_p$
53432
What is the algebraic closure of $\mathbb F_q$?
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$
113175
Why is the algebraic closure of a finite field countable?
117005
Rules in the ring with coefficients in finite field $\mathbb{F}_p$
24050
Characterization of the Closure of a Set
123219
What is multiplicative group $\bar{\mathbb{F}}_p^*$ for algebraic closure $\bar{\mathbb{F}}_p$ of $\mathbb{F}_p$ where $p$ is prime?
99884
Are $\mathbb{Q}_p$ and $\mathbb{Q}_q$ homeomorphic?
51465
New, elegant proofs for $\varphi(p^{k})=p^{k}-p^{k-1}$
123903
If $E/F$ is algebraic and every $f\in F[X]$ has a root in $E$, why is $E$ algebraically closed?
82824
Affine algebraic subset of $\mathbb{A}_k^4$
111338
Affine variety over a field which is not algebraically closed can be written as the zero set of a single polynomial
121076
Show $x^p-t$ has no root in the field $\mathbb{F}_p(t)$
124844
Show that $\phi \circ f$ belongs to $L_p$ for each $f \in L_p$
79328
Proposition 5.15 from Atiyah and Macdonald: Integral Closure and Minimal Polynomial
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $