$S$-2-absorbing second submodules

Faranak Farshadifar

Abstract


‎Let $R$ be a commutative ring with identity‎, ‎$S$ be a multiplicatively closed subset of $R$‎, ‎and let $M$ be an $R$-module‎.

‎In this paper‎, ‎we introduce and investigate some properties of the notion of $S$-2-absorbing second submodules of $M$ as a generalization of $S$-second submodules and strongly 2-absorbing second submodules of $M$‎.

‎Also‎, ‎we obtain some results concerning $S$-2-absorbing submodules of $M$‎.


Keywords


Second submodule‎, multiplicatively closed subset, ‎$S$-second submodule‎, ‎$S$-prime submodule‎, ‎$S$-2-absorbing submodule‎, ‎$S$-2-absorbing second submodule

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