# Property: von Neumann regular

Definition: For every x, there exists y such that x=xyx

## Metaproperties

This property has the following metaproperties
• passes to $eRe$ for any idempotent $e$
• passes to $eRe$ for any full idempotent $e$
• Morita invariant
• passes to matrix rings
• passes to the center