Is complement of an algebraic set also algebraic in $\mathbb{A}^n(k)$?
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
93111
Finiteness of the Algebraic Closure
64502
On the meaning of being algebraically closed
98577
Show that the set $\mathbb{Q}(\sqrt{p})=\{a+b\sqrt{p}; a,b,p\in\mathbb{Q},\sqrt{p}\notin \mathbb{Q}\}$ is a field
122271
A subset of a transitive set is transitive
87830
Relating the union of the power set of a set to the set itself
122463
How to show the that a set $A$ nowhere dense is equivalent to the complement of $A$ containing a dense open set?
100725
Let $a$ be an algebraic number, prove that $ia$ is also algebraic
83595
Proving that $\mathbb{A}=\{\alpha \in \mathbb{C}: \alpha \text{ is algebraic over } \mathbb{Q} \}$ is not a finite extension
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
95294
Dense subset of $C[0,1]$ which preserves rationals
13761
Automorphisms in $\mathbb{Z}_n$
89496
$a$ algebraic number, $\exists$ integer $n>0$ such that $na$ algebraic integer
56370
Associative operation on a set $S$
10911
$A \in M_{n}(\mathbb{R})$ has inverse if and only if it's rank is n.
74058
Sums and products of algebraic numbers