Property: (right/left) max ring

Definition: (right max ring) (right max ring) A ring $R$ is called a right max ring if every nonzero right $R$ module has a maximal submodule.

Resources for learning about this property:

  • A. A. Tuganbaev. Rings close to regular. (2013) @ Chapter 5


This property has the following metaproperties
  • passes to quotient rings