# Property: compressible

Definition: Given any idempotent $e\in R$, we have $Z(eRe)=eZ(R)e$. ($Z(-)$ denotes the center of the ring.) (See Berberian's Baer and Baer * Rings, definition 3.29)

## Metaproperties

This property has the following metaproperties
• passes to $eRe$ for any idempotent $e$
This property does not have the following metaproperties