δ-Hollow Modules
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Abstract
Let R be a commutative ring with unity and M be a non zero unitary left R-module. M is called a hollow module if every proper submodule N of M is small (N ≪ M), i.e. N + W ≠M for every proper submodule W in M. A δ-hollow module is a generalization of hollow module, where an R-module M is called δ-hollow module if every proper submodule N of M is δ-small (N δ  M), i.e. N + W ≠M for every proper submodule W in M with M W is singular. In this work we study this class of modules and give several fundamental properties related with this concept
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δ-Hollow Modules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 27(2), 241-250. https://jih.uobaghdad.edu.iq/index.php/j/article/view/348
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Mathematics
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How to Cite
δ-Hollow Modules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 27(2), 241-250. https://jih.uobaghdad.edu.iq/index.php/j/article/view/348