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Research Article Open access CC BY 4.0

Amply Cofinitely Essential Supplemented Modules

Berna Koşar, Celil Nebiyev

Archives of Current Research International · pp. 1–4 · Published 5 Nov 2019

10.9734/acri/2019/v19i130146

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.

Essential submodules cofinite submodules small submodules supplemented modules.

Cited by 1

Some properties of cofinitely weak essential supplemented modules

B. Koşar · Miskolc Mathematical Notes · 2021

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