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Let be a ring, let be a left-module, and let be submodules of with proper. We call an-supplement of in if is minimal in the set such that, or equivalently,, and is-small in. If every submodule of has an-supplement, then we call an-supplemented module. In this paper, we introduce and investigate-supplement submodules and (amply)-supplemented modules. We give some properties of these modules, and characterize finitely generated (amply)-supplemented modules in terms of their certain submodules.