Definition:Normed Division Ring
Definition
Let $\struct {R, +, \circ}$ be a division ring.
Let $\norm{\,\cdot\,}$ be a norm on $R$.
Then $\struct{R, \norm{\,\cdot\,} }$ is a normed division ring.
Valued Field
Let $\struct {K, +, \circ}$ be a field.
Let $\norm{\,\cdot\,}$ be a norm on $K$.
Then $\struct{K, \norm{\,\cdot\,} }$ is a valued field.
