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

Definition
Let $\norm {\, \cdot \,}$ be a norm on a division ring $R$ satisfying the norm axioms:

A norm $\norm {\, \cdot \,}$ is said to be Archimedean it does not satisfy the.

That is, $\norm {\, \cdot \,}$ is Archimedean :