Tian, JianSozen, Esra OzturkHamzekolaee, Ali Reza Moniri2025-03-232025-03-2320232314-46292314-4785https://doi.org/10.1155/2023/9968793https://hdl.handle.net/11486/5176In present work, we describe and investigate torsion theoretic versions of delta-supplemented modules via a hereditary torsion theory tau. With this aim, first, we define delta(tau)-small submodules. On this basis, the concepts of delta tau-lifting modules, delta(tau)-supplemented modules, and amply delta(tau)-supplemented modules and their fundamental properties are given, respectively. Furthermore, we present delta(tau)-semiperfect modules and give a characterization for them via (amply) delta(tau)-supplemented modules. Even we supply binary relations between these new module classes.eninfo:eu-repo/semantics/openAccessLifting ModulesSemiperfectArticle202310.1155/2023/99687932-s2.0-85175434405Q1WOS:001088812600001Q1