Prove that $ k[x,y]/(x^3 - y^2)$ is not a UFD.
55026
$\mathbb{Q}[X,Y]/(Y^2-X^3)$ is not a UFD
83023
From axiom of regularity, how can I prove $x \notin y \lor y \notin x$
85586
Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
135867
$f(x)=x^3$ is convex nor concave without to derivate
9223
Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
46211
$(K[x,y,z]/(x^2+y^3+z^7))_{(x,y,z)}$ is a UFD.
128524
Proving there is no analytic function
58009
How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$
66238
Proving $\mathbb{Z}[\sqrt {10}]$ is not a UFD
40041
Proof of Non-Ordering of Complex Field
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
25050
To prove that $(F,+)$ and $(F-\{0\},\cdot)$ are not isomorphic as groups.
17859
Showing $F[x,y]/(ax^2+by^2-1)$ is a Dedekind domain
2129
Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
113359
Proving that $x^2 + 4$ is not divisible by $3$
83798
Does $A$ a UFD imply that  $A[T]$ is also a UFD?
135046
Can this quick way of showing that $K[X,Y]/(Y-X^2)\cong K[X]$ be turned into a valid argument?