# Property: (right/left) self-injective

Definition: (right self-injective) $R$ is injective as a right module

## Resources for learning about this property:

• T.-Y. Lam. Lectures on modules and rings. (2012) @ Section 3B

## Metaproperties:

This property has the following metaproperties
• Morita invariant
• passes to $eRe$ for any full idempotent $e$
• passes to matrix rings
This property does not have the following metaproperties