---
tag: FX5MS8G9TD
kind: problem
name: Problem 3 (Goodearl 1991)
sources:
  - wikipedia: en:9755564@r1364856992
    locator: Congruence lattice problem, section Congruence lattices of lattices and nonstable K-theory of von Neumann regular rings
    note: adopted
    mention: wikipedia://en/9755564#KME9
    sections: [Problem]
inventory: [327CHMKQ6X]
---

## Problem

**Problem 3 (Goodearl 1991).** Is the positive cone of any dimension group with [[order-unit|0N6R902FG1]] isomorphic to *V(R)*, for some von Neumann regular ring *R*?

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