# Property: (right/left) Noetherian

Definition: (right Noetherian) Ascending chain condition on right ideals

## 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
- passes to localizations

This property

**does not** have the following metaproperties