# Property: semisimple

Definition: semiprimitive and Artinian

• F. W. Anderson and K. R. Fuller. Rings and categories of modules. (2012) @ Chapter 4
• K. R. Goodearl and R. B. W. Jr. An introduction to noncommutative Noetherian rings. (2004) @ Chapter 4
• T.-Y. Lam. A first course in noncommutative rings. (2013) @ Chapter 1

## Metaproperties:

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