Property: Baer

Definition: For any subset $X$ of $R$, the right annihilator of $X$ is a summand of $R$

Resources for learning about this property:

  • T.-Y. Lam. Lectures on modules and rings. (2012) @ Section 7D


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