sentences:  Elliott proved in 1976 that the positive cone of any countable direct limit of simplicial groups is isomorphic to "V(R)", for some locally matricial ring "R".Finally, Goodearl and Handelman proved in 1986 that the positive cone of any dimension group with at most ℵ1 elements is isomorphic to "V(R)", for some locally matricial ring "R" (over any given field).Wehrung proved in 1998 that there are dimension groups with order-unit whose positive cone cannot be represented as "V(R)", for a von Neumann regular ring "R".