# 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
- stable under products
- stable under finite products

This property

**does not** have the following metaproperties