Vol. 5 (04) pp. 1508-1511 DOI: 10.21474/IJAR01/3974

STRONGLY HOLLOW-δ-LIFTING MODULES.

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  • Department of mathematics, College of science, Al-Mustansiriyah University.
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Abstract

In this paper, we introduce and study the concept of strongly hollow-δ-lifting modules as a proper generalization of strongly hollow-δ-lifting modules. We call an R-module M is strongly hollow-δ-lifting if for every submodule N of M with M/N hollow, then there is a fully invariant direct summand K of M such that K⊆N and N/K ≪_δ M/K. Several characterizations and properties of strongly hollow-δ-lifting modules are obtained. Modules related to strongly hollow-δ-lifting modules are given.

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How to Cite This Article

SaadA.Alsaadi and Rasha M.Jeathoom. (2017); STRONGLY HOLLOW-δ-LIFTING MODULES., Int. J. of Adv. Res., 5 (04), 1508-1511, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/3974

Corresponding Author

saadA.Alsaadi
Department of mathematics, College of science, Al-Mustansiriyah University
Creative Commons Attribution 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.