PRIME HOLLOW MODULES

Muna  Ahmed

doi:10.24996/ijs.2010.51.4.%g

PRIME HOLLOW MODULES

Authors

Muna Ahmed Department of Mathematics, College Of Science for Women, University of Baghdad, Iraq-Baghdad.

DOI:

https://doi.org/10.24996/ijs.2010.51.4.%25g

Keywords:

PRIME, MODULES

Abstract

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.