Proving $(\mathbb{C},\mathbb{C})$ Is Not A Field
25397
Prove $R \times R$ is NOT an integral domain
7828
Proof that an integral domain that is a finite-dimensional $F$-vector space is in fact a field
39114
Prove that a set in $\mathbb R^3$ is not an algebraic set
88474
$\mathbb{A}^{2}$ not isomorphic to affine space minus the origin
64130
Prove that $\mathbb{Q}^{\times}$ not isomorphic to $\mathbb{Z}^{n}$
44685
Inner product on $C(\mathbb R)$
127198
What is $\mathbb{C}^{Aut(\mathbb{C}/\mathbb{Q})}$?
85586
Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
85032
$Q(\mathbb{Z}[t]) / \mathbb{Z}[t]$ is not injective
123458
Prove $( \lnot C \implies \lnot B) \implies (B \implies C)$ without the Deduction Theorem
40041
Proof of Non-Ordering of Complex Field
67001
Factorizing polynomials over fields other than $\mathbb{C}$
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$
88645
Prove that the additive groups $\mathbb{R}$ and $\mathbb{Q}$ are not isomorphic.
150337
Let $K$ be a subfield of $\mathbb{C}$ not contained in $\mathbb{R}$. Show that $K$ is dense in $\mathbb{C}$.
99726
Proving that a function is not a contraction
2348
Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic