e*-Essential Small Submodules and e*-Hollow Modules

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i2.4301

Keywords:

e*- Small essential submodule, Small submodule, e*- Radical submodule, Radical submodul, e*-Hollow module.

Abstract

The purpose of this paper is to introduce new concepts in a module  over a ring , the first one is called e*- small essential submodule, which is a generalization of the small submodule, the second concept is called  e*-radical submodule which is a generalization of the radical submodule and the last concept is called e* - hollow module which is a generalization of the hollow module. We will prove some properties of all these concepts.

Author Biography

Hiba Baanoon, Baghdad University

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How to Cite

Baanoon, H., & Khalid, W. . (2022). e*-Essential Small Submodules and e*-Hollow Modules. European Journal of Pure and Applied Mathematics, 15(2), 478–485. https://doi.org/10.29020/nybg.ejpam.v15i2.4301

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