PRIME HOLLOW MODULES
PRIME
MODULES
A non-zero module M is called hollow, if every proper submodule of M is small.
In this work we introduce a generalization of this type of modules; we call it prime
hollow modules. Some main properties of this kind of modules are investigated and
the relation between these modules with hollow modules and some other modules
are studied, such as semihollow, amply supplemented and lifting modules.