Title of article :
Feebly lifting modules
Author/Authors :
Abdioğlu ، Cihat Department of Mathematics and Science Education - Faculty of Education - Karamanoğlu Mehmetbey University , Sozen ، Esra Özturk Department of Mathematics - Faculty of Sciences and Arts - Sinop University
Abstract :
In this article feebly lifting modules are defined. A module $W$ is called feebly lifting provided, for each fully idempotent $N\leq W$ there exists a direct summand $D\leq W$ providing $D\leq N$ and $\frac{N}{D}\ll \frac{W}{D}$. The basic properties and ring characterizations of these modules are investigated.
Keywords :
Lifting module , Fully idempotent submodule , Weak lifting module , Feebly lifting module
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
