Resources for learning about this property:

• J. C. McConnell, J. C. Robson, and L. W. Small. Noncommutative {N}oetherian rings. (2001) @ .
• K. R. Goodearl and R. B. W. Jr. An introduction to noncommutative Noetherian rings. (2004) @ .
• N. Jacobson. Basic algebra II. (2012) @ Section 7.10

Metaproperties:

This property has the following metaproperties

• stable under finite products
• Morita invariant

This property does not have the following metaproperties

• stable under products (counterexample)