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    Some Variations of δ-Supplemented Modules with Regard to a Hereditary Torsion Theory
    (Wiley, 2023) Tian, Jian; Sozen, Esra Ozturk; Hamzekolaee, Ali Reza Moniri
    In 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.