Why $\mathbb{Z}[\sqrt{-3}]$ is not a Euclidean domain?
138944
Is $\mathbb Z[\sqrt{-3}]$ Euclidean under some other norm?
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
132193
Why $\Bbb Z$ = (integers) is an integral domain?
86234
Explain why $\mathbb{Z \times Z}$ and $\mathbb{R \times R}$ is not a field
103550
Multiplicative Euclidean Function for an Euclidean Domain
16507
Is $\mathbb{Z}= \{\dots -3, -2, -1, 0 ,1 ,2 , 3, \dots \}$ countable?
2348
Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic
93621
Prove that $\mathbb{Z}[\omega]$ is an integral domain
148804
Norm-Euclidean rings?
35305
Why is $\mathbb{R}^2$ not a subset and /or a subspace of $\mathbb{R}^3$?
88474
$\mathbb{A}^{2}$ not isomorphic to affine space minus the origin
39114
Prove that a set in $\mathbb R^3$ is not an algebraic set
23721
Prove that the Gaussian Integer's ring is a Euclidean domain
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
23048
The ring $\mathbb Z[\sqrt{-2}]= \{a+b\sqrt{-2} ; a\in \mathbb Z,b\in \mathbb Z \}$ has a Euclidean algorithm
153444
$\mathbb{Q}(\sqrt[3]{2})$ is not in any cyclotomic extension of $\mathbb{Q}$
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$