Property: semi-Noetherian

Definition: Every nonzero submodule of $M$ has a maximal submodule. Also known as: max modules, Hamsher modules


  • C. Faith. Rings whose modules have maximal submodules. (1995) @ (all)
  • J. Clark, C. Lomp, N. Vanaja, and R. Wisbauer. Lifting modules: supplements and projectivity in module theory. (2008) @ Section 2.19 p 17


This property has the following metaproperties
  • stable under direct sums
  • stable under products
  • passes to submodules
This property does not have the following metaproperties