@article{Soydan_Türkmen_2021, title={Generalizations of $ss$-supplemented modules}, volume={13}, url={https://scijournals.pnu.edu.ua/index.php/cmp/article/view/3948}, DOI={10.15330/cmp.13.1.119-126}, abstractNote={<p>We introduce the concept of (strongly) $ss$-radical supplemented modules. We prove that if a submodule $N$ of $M$ is strongly $ss$-radical supplemented and $Rad(M/N)=M/N$, then $M$ is strongly $ss$-radical supplemented. For a left good ring $R$, we show that $Rad(R)\subseteq Soc(_{R}R)$ if and only if every left $R$-module is $ss$-radical supplemented. We characterize the rings over which all modules are strongly $ss$-radical supplemented. We also prove that over a left $WV$-ring every supplemented module is $ss$-supplemented.</p>}, number={1}, journal={Carpathian Mathematical Publications}, author={Soydan, I. and Türkmen, E.}, year={2021}, month={Jun.}, pages={119–126} }