# 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

## Metaproperties:

This property has the following metaproperties