Some Properties of S-Semiannihilator Small Submodules and S-Small Submodules with respect to a Submodule

F. Farzalipour, S. Rajaee, P. Ghiasvand and Marco Fontana

Journal of Mathematics, 2024, vol. 2024, 1-6

Abstract: Let R be a commutative ring with nonzero identity, S⊆R be a multiplicatively closed subset of R, and M be a unital R-module. In this article, we introduce the concepts of S-semiannihilator small submodules and S-T-small submodules as generalizations of S-small submodules. We investigate some basic properties of them and give some characterizations of such submodules, especially for (finitely generated faithful) multiplication modules.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5547197

DOI: 10.1155/2024/5547197

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