Definition:Non-Archimedean/Norm (Division Ring)/Archimedean

Definition
A norm $\norm {\, \cdot \,}$ on a division ring $R$ is Archimedean it is not non-Archimedean.

That is, :
 * $\exists x, y \in R: \norm {x + y} > \max \set {\norm x, \norm y}$