@article{article_570134, title={A New Generalization of Injective Modules}, journal={Sinop Üniversitesi Fen Bilimleri Dergisi}, volume={4}, pages={122–129}, year={2019}, DOI={10.33484/sinopfbd.570134}, url={https://izlik.org/JA73KU83BL}, author={Öztürk Sözen, Esra}, keywords={δ-tümleyen,⊕-δ-tümleyen,modül genişlemesi,δ-yarı mükemmel halka}, abstract={<p>    In this paper, as a generalization of injective modules, we define two different modules: modules that have the property (δ-SE) and modules that have the property (δ-SSE), and we investigate basic properties of them. Namely, modules that have a δ-supplement that is a direct summand in its every extension and modules that have a strong δ-supplement in its every extension are tackled here. Particularly, it is proved that a ring whose modules have the property (δ-SE) is δ-semiperfect. Let R be a ring, M be an R-module with IM=0  for an ideal of R. It is shown that if the R-module M has the property (δ-SE), then so does ¯R-module M, under a special condition, where ¯R=R/I. Finally we supply an example showing that a module that has the property (δ-SE) may not have the property (δ-SSE). <br /> </p>}, number={2}