# Property: (right/left) Artinian

Definition: (right Artinian) Right Artinian (resp. left Artinian) Descending chain condition on right (resp. left) ideals.

## Resources for learning about this property:

- K. R. Fuller. Artinian Rings: A Supplement to Rings and Categories of Modules. (1989) @ .
- N. Jacobson. Basic algebra II. (2012) @ Sections 4.4 and 7.11

## Metaproperties:

This property has the following metaproperties

- Morita invariant
- stable under finite products

This property

**does not** have the following metaproperties