Öztürk Sözen, EsraEryaşar, Elif2025-03-232025-03-2320232536-43832564-7873https://doi.org/10.33484/sinopfbd.1355648https://search.trdizin.gov.tr/tr/yayin/detay/1215704https://hdl.handle.net/11486/3348In this essay we describe δss-lifting modules as a singular version of ss-lifting ones. The focus of this study is to get a more general algebraic structure than ss-lifting modules. A module W is entitled δss-lifting if for each S ≤ W, there occurs a decomposition W = X ⊕ Y with X ≤ S and S ∩ Y ≤ Socδ(Y ), where Socδ(Y ) = δ(Y ) ∩ Soc(Y ). We examine the fundamental properties of this form of modules and also investigate a structure of a ring whose modules are all δss-lifting. Finally, we give several characterizations for (projective) δss-lifting modules and (amply) δss-supplemented modules via δss-perfect rings.eninfo:eu-repo/semantics/openAccessMatematikArticle8214515510.33484/sinopfbd.13556481215704