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Throughout this paper R represents an associative ring with identity and M is unitary right R-module, the purpose of this paper is to study a new concept, named s-closed submodules. It is stronger than the concept of closed submodules, where a submodule N of an R-module M is called s-closed in M, if it has no proper small-essential in M. As an application of this closedness, we consider s-closed injective modules.