$S$-2-absorbing second submodules

Authors

  • Faranak Farshadifar

Keywords:

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

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 $M$‎.

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Published

2021-11-03

Issue

Vol. 16

Section

Vol. 16, No. 8, (2022)

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