In this paper, we study supplement submodules with respect to a torsion class of any torsion theory, generalizing the concepts of sa-supplement, extended S-supplement, Rad-supplement submodules, etc. We give some homological properties of this class of modules, which forms a proper class, and use them to characterize some rings in terms of those certain modules.
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Özdemi̇r et al. (2024) studied this question.
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