# Property: semiprimitive

Definition: Jacobson radical zero

## Resources for learning about this property:

• N. Jacobson. Basic algebra II. (2012) @ Section 4.1
• T.-Y. Lam. A first course in noncommutative rings. (2013) @ Chapter 2

## Metaproperties:

This property has the following metaproperties
• Morita invariant
• passes to $eRe$ for any full idempotent $e$
• passes to matrix rings
• stable under finite products
• stable under products