Sözen, Esra Öztürk2025-03-232025-03-2320222423-3447https://doi.org/10.29252/as.2021.2334https://hdl.handle.net/11486/4270In this paper we introduce Goldie∗-δ-supplemented modules as follows. A module M is called Goldie∗-δ-supplemented (briefly, G∗δ-supplemented) if there exists a δ-supplement T of M for every submodule A of M such that Aβδ∗T. We say that a module M is called Goldie∗-δ-lifting (briefly, G∗δ-lifting) if there exists a direct summand D of M for every submodule A of M such that Aβδ∗D. Note that the last concept given in [4] as a δ-H-supplemented module. We present fundamental properties of these modules. We indicate that these modules lie between δ-lifting and δ-supplemented modules. Also we prove that our modules coincide with some variations of δ-supplemented modules for δ-semiperfect modules. © 2022 Yazd University.eninfo:eu-repo/semantics/closedAccessGoldieδ-lifting moduleδ-supplemented module^∗-δ-supplemented moduleArticle91698010.29252/as.2021.23342-s2.0-85124670063Q4