Definition Euclidean domain, condition not necessary
5594
Question about the Euclidean ring definition
35569
Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
67699
Integral domain that is integrally closed, one-dimensional and not noetherian
25397
Prove $R \times R$ is NOT an integral domain
14158
Prove that $R$ is an integral domain $\Leftrightarrow$ $R[x]$ is an integral domain
27652
metric on the Euclidean Group
3037
Integral domain without unity has prime characteristic?
154594
Without AC, it is consistent that there is a function with domain $\mathbb{R}$ whose range has cardinality strictly larger than that of $\mathbb{R}$?
27167
Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
146470
Show $\mathbb{Z}[\sqrt{6}]$ is a Euclidean domain
112560
Simple Noetherian domain which is not a division ring
24351
The ring $\Bbb Z\left [\frac{-1+\sqrt{-19}}{2}\right ]$ is not a Euclidean domain
135152
Non-UFD integral domain such that prime is equivalent to irreducible?
96132
$R$ integral domain : $u\in R^*, a \text{ is prime} \iff au \text{ is prime}$
1020
Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
13983
Show that If $R[X]$ is Euclidean domain then $R$ is a field
27600
Gödel's (in)completeness theorems and the axiomatization of Euclidean geometry