doi:10.1088/1742-6596/1818/1/012214

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Publication Date

Mon Mar 01 2021

Journal Name

Journal Of Physics: Conference Series

Volume

1818

DOI

10.1088/1742-6596/1818/1/012214

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On Large-Small submodule and Large-Hollow module

Sahira M.

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Abstract<p>The goal of this research is to introduce the concepts of Large-small submodule and Large-hollow module and some properties of them are considered, such that a proper submodule N of an R-module M is said to be Large-small submodule, if N + K = M where K be a submodule of M, then K is essential submodule of M ( K ≤<sub>e</sub> M ). An R-module M is called Large-hollow module if every proper submodule of M is Large-small submodule in M.</p>

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