Let $R$ be a D273: Division ring such that

(i)	$V$ is a D29: Vector space over $R$
(ii)	$B$ is a D173: Vector space basis for $V$ over $R$

The dimension of $V$ over $R$ is the D15: Set cardinality \begin{equation} \text{dim}_R(V) : = |B| \end{equation}