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
This property has the following metaproperties
- Morita invariant
- stable under finite products
This property does not
have the following metaproperties