Cofinitely essential g-supplemented modules

Miskolc Mathematical Notes

article

Celil Nebiyev¹  Hasan Hüseyin Ökten² 

[1] Ondokuz Mayıs University, Department of Mathematics;Amasya University, Technical Sciences Vocational School

关键词: cofinite submodules;    essential submodules;    g-small submodules;    g-supplemented modules;   

DOI  :  10.18514/MMN.2022.3655

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

Let M be an R−module. If every cofinite essential submodule of M has a g-supplement in M, then M is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supplemented) module. In this work, some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of a cofinitely eg-supplemented module are cofinitely eg-supplemented. Let M be a cofinitely eg-supplemented module. Then every M−generated R−module is cofinitely eg-supplemented.

【 授权许可】

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