Is $\mathbb{Q}(\sqrt{2})$ a Euclidean domain?
122415
How to show every field is a Euclidean Domain.
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
24351
The ring $\Bbb Z\left [\frac{-1+\sqrt{-19}}{2}\right ]$ is not a Euclidean domain
32760
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
108955
Showing $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$
50668
Show that $\mathbb{Q}(\sqrt2, \sqrt[3]2)$ is a primitive field extension of $\mathbb{Q}$.
103550
Multiplicative Euclidean Function for an Euclidean Domain
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
26641
Problem about the definition of Euclidean domain
81381
Why does the domain and range of $\sqrt x$ contain only positive real numbers?
146470
Show $\mathbb{Z}[\sqrt{6}]$ is a Euclidean domain
153444
$\mathbb{Q}(\sqrt[3]{2})$ is not in any cyclotomic extension of $\mathbb{Q}$
58717
Why isn't $\mathbb Z [\sqrt{pq}]$ a factorial domain
139463
Commutative integral domain does not finitely generate its field of fractions
19754
$\mathbb{R}$ \ $\mathbb{Q}$ and $\mathbb{R}^2\setminus\mathbb{Q}^2$ disconnected?