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