Property: semiregular

Definition: $R$ is lift/rad and $R/J(R)$ is von Neumann regular

Resources for learning about this property:

  • A. A. Tuganbaev. Rings close to regular. (2013) @ Chapter 4

Metaproperties:

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