\(S\)-second submodules of a module

F. Farshadifar

Abstract


Let \(R\) be a commutative ring with identity and let \(M\) be an \(R\)-module. The main purpose of this paper is to introduce and study the notion of \(S\)-second submodules of an \(R\)-module \(M\) as a~generalization of second submodules of \(M\).


Keywords


second submodule, \(S\)-second submodule, \(S\)-cotorsion-free module, simple module

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DOI: http://dx.doi.org/10.12958/adm1437

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