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