Semi-T-Hollow Modules and Semi-T-Lifting Modules

  • Alaa A. Elewi College of Science, University of Baghdad, Baghdad, Iraq
Keywords: Small submodules, T- small submodules, T- hollow modules, T- lifting modules

Abstract

Let be an associative ring with identity and let be a unitary left -module. Let  be a non-zero submodule of .We say that  is a semi- - hollow module if for every submodule  of  such that  is a semi- - small submodule ( ). In addition, we say that  is a semi- - lifting module if for every submodule  of , there exists a direct summand  of  and  such that  

The main purpose of this work was to develop the properties of these classes of module.

 

Published
2021-07-31
How to Cite
Elewi, A. A. (2021). Semi-T-Hollow Modules and Semi-T-Lifting Modules. Iraqi Journal of Science, (7), 2357-2361. https://doi.org/10.24996/ijs.2021.62.7.24
Section
Mathematics