Amply Cofinitely Essential Supplemented Modules

Main Article Content

Berna Koşar
Celil Nebiyev

Abstract

Let M be an R−module. If every cofinite essential submodule of M has ample supplements in M then M is called an amply cofinitely essential supplemented module. In this work some properties of these modules are investigated. Let M be a projective and cofinitely essential supplemented R−module. Then every M−generated R−module is amply cofinitely essential supplemented.

Keywords:
Essential submodules, cofinite submodules, small submodules, supplemented modules.

Article Details

How to Cite
Koşar, B., & Nebiyev, C. (2019). Amply Cofinitely Essential Supplemented Modules. Archives of Current Research International, 19(1), 1-4. https://doi.org/10.9734/acri/2019/v19i130146
Section
Original Research Article

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