
doi: 10.12958/adm1437
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.
Other special types of modules and ideals in commutative rings, simple module, \(S\)-second submodule, \(S\)-cotorsion-free module, Structure, classification theorems for modules and ideals in commutative rings, Multiplicity theory and related topics, second submodule, Ideals and multiplicative ideal theory in commutative rings, Simple and semisimple modules, primitive rings and ideals in associative algebras
Other special types of modules and ideals in commutative rings, simple module, \(S\)-second submodule, \(S\)-cotorsion-free module, Structure, classification theorems for modules and ideals in commutative rings, Multiplicity theory and related topics, second submodule, Ideals and multiplicative ideal theory in commutative rings, Simple and semisimple modules, primitive rings and ideals in associative algebras
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