SOME GENERALIZATIONS ON  -LIFTING MODULES

Sarah  Shakir; Bahar  Hamad

doi:10.24996/

Authors

Sarah Shakir Department of math. ,College of science, University of Baghdad . Baghdad-Iraq
Bahar Hamad Department of math. ,College of science, University of Baghdad . Baghdad-Iraq

DOI:

https://doi.org/10.24996/

Keywords:

c-singular submodule,  -small submodule, ,  -lifting module, FI- - lifting module, , weak  -lifting module

Abstract

In this note we study the concept  -lifting and we add some new results. Also
we introduce weak  -lifting modules and FI- -lifting modules as two
generalizations of  -lifting modules. We obtain some properties, characterizations
and decompositions of weak  -lifting modules and FI- -lifting modules.